3607138656 has 168 divisors, whose sum is σ = 11616237864. Its totient is φ = 1092994560.

The previous prime is 3607138643. The next prime is 3607138679. The reversal of 3607138656 is 6568317063.

3607138656 is a `hidden beast` number, since 3 + 607 + 1 + 38 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×3607138656² = 26022898567218972672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 249580 + ... + 263636.

It is an arithmetic number, because the mean of its divisors is an integer number (69144273).

Almost surely, 2^3607138656 is an apocalyptic number.

3607138656 is a gapful number since it is divisible by the number (36) 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 3607138656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808118932).

3607138656 is an abundant number, since it is smaller than the sum of its proper divisors (8009099208).

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

3607138656 is a wasteful number, since it uses less digits than its factorization.

3607138656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14096 (or 14073 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3607138656 is about 60059.4593382258. The cubic root of 3607138656 is about 1533.6312365522.

The spelling of 3607138656 in words is "three billion, six hundred seven million, one hundred thirty-eight thousand, six hundred fifty-six".