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3678404640 = 25357663343
BaseRepresentation
bin1101101101000000…
…0000000000100000
3100111100120022112220
43123100000000200
530013132422030
61405000551040
7160103631531
oct33320000040
910440508486
103678404640
1116183aa939
12867a82480
134681022c1
1426c75c688
15167deca10
hexdb400020

3678404640 has 48 divisors (see below), whose sum is σ = 11586976128. Its totient is φ = 980907776.

The previous prime is 3678404623. The next prime is 3678404641. The reversal of 3678404640 is 464048763.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3678404592 and 3678404601.

It is not an unprimeable number, because it can be changed into a prime (3678404641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3831192 + ... + 3832151.

It is an arithmetic number, because the mean of its divisors is an integer number (241395336).

Almost surely, 23678404640 is an apocalyptic number.

3678404640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3678404640 is an abundant number, since it is smaller than the sum of its proper divisors (7908571488).

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

3678404640 is a wasteful number, since it uses less digits than its factorization.

3678404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663361 (or 7663353 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3678404640 is about 60649.8527615690. The cubic root of 3678404640 is about 1543.6653905450.

The spelling of 3678404640 in words is "three billion, six hundred seventy-eight million, four hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7663343 15326686 22990029 30653372 38316715 45980058 61306744 76633430 91960116 114950145 122613488 153266860 183920232 229900290 245226976 306533720 367840464 459800580 613067440 735680928 919601160 1226134880 1839202320 3678404640