3608001585936 has 480 divisors, whose sum is σ = 12113024466816. Its totient is φ = 1027510272000.

The previous prime is 3608001585899. The next prime is 3608001585943. The reversal of 3608001585936 is 6395851008063.

3608001585936 is a `hidden beast` number, since 36 + 0 + 8 + 0 + 0 + 15 + 8 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 553286356 + ... + 553292876.

Almost surely, 2^{3608001585936} is an apocalyptic number.

3608001585936 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 3608001585936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056512233408).

3608001585936 is an abundant number, since it is smaller than the sum of its proper divisors (8505022880880).

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

3608001585936 is a wasteful number, since it uses less digits than its factorization.

3608001585936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3608001585936 in words is "three trillion, six hundred eight billion, one million, five hundred eighty-five thousand, nine hundred thirty-six".