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3664334664 = 2332313744371
BaseRepresentation
bin1101101001101001…
…0100111101001000
3100110101002111011200
43122122110331020
530001032202124
61403335224200
7156543221304
oct33232247510
910411074150
103664334664
11161046a961
12863218060
13465217083
1426a938d04
15166a6dbc9
hexda694f48

3664334664 has 96 divisors (see below), whose sum is σ = 10521488640. Its totient is φ = 1150070400.

The previous prime is 3664334651. The next prime is 3664334671. The reversal of 3664334664 is 4664334663.

It is a happy number.

3664334664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60399 + ... + 104769.

It is an arithmetic number, because the mean of its divisors is an integer number (109598840).

Almost surely, 23664334664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664334664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260744320).

3664334664 is an abundant number, since it is smaller than the sum of its proper divisors (6857153976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3664334664 is a wasteful number, since it uses less digits than its factorization.

3664334664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44451 (or 44444 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 45.

The square root of 3664334664 is about 60533.7481410163. The cubic root of 3664334664 is about 1541.6946914305.

Subtracting 3664334664 from its reverse (4664334663), we obtain a palindrome (999999999).

The spelling of 3664334664 in words is "three billion, six hundred sixty-four million, three hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 2232 2294 2664 3441 4588 6882 9176 10323 13764 20646 27528 41292 44371 82584 88742 133113 177484 266226 354968 399339 532452 798678 1064904 1375501 1597356 1641727 2751002 3194712 3283454 4126503 4925181 5502004 6566908 8253006 9850362 11004008 12379509 13133816 14775543 16506012 19700724 24759018 29551086 33012024 39401448 49518036 50893537 59102172 99036072 101787074 118204344 152680611 203574148 305361222 407148296 458041833 610722444 916083666 1221444888 1832167332 3664334664