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3664072328 = 237198938693
BaseRepresentation
bin1101101001100101…
…0100111010001000
3100110100121011022112
43122121110322020
530001000303303
61403325441452
7156541046420
oct33231247210
910410534275
103664072328
111610300854
12863110288
13465154847
1426a8ab480
15166a1b0d8
hexda654e88

3664072328 has 64 divisors (see below), whose sum is σ = 8357904000. Its totient is φ = 1470915072.

The previous prime is 3664072327. The next prime is 3664072331. The reversal of 3664072328 is 8232704663.

It is not an unprimeable number, because it can be changed into a prime (3664072327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75350 + ... + 114042.

It is an arithmetic number, because the mean of its divisors is an integer number (130592250).

Almost surely, 23664072328 is an apocalyptic number.

3664072328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3664072328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178952000).

3664072328 is an abundant number, since it is smaller than the sum of its proper divisors (4693831672).

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

3664072328 is a wasteful number, since it uses less digits than its factorization.

3664072328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38814 (or 38810 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 3664072328 is about 60531.5812448345. The cubic root of 3664072328 is about 1541.6578996972.

The spelling of 3664072328 in words is "three billion, six hundred sixty-four million, seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 89 133 152 178 266 356 532 623 712 1064 1246 1691 2492 3382 4984 6764 11837 13528 23674 38693 47348 77386 94696 154772 270851 309544 541702 735167 1083404 1470334 2166808 2940668 3443677 5146169 5881336 6887354 10292338 13774708 20584676 24105739 27549416 41169352 48211478 65429863 96422956 130859726 192845912 261719452 458009041 523438904 916018082 1832036164 3664072328