3597897388032 has 520 divisors, whose sum is σ = 11046526761600. Its totient is φ = 1166319157248.

The previous prime is 3597897388021. The next prime is 3597897388067. The reversal of 3597897388032 is 2308837987953.

It is a super-3 number, since 3×3597897388032³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2791230844 + ... + 2791232132.

Almost surely, 2^{3597897388032} is an apocalyptic number.

3597897388032 is a gapful number since it is divisible by the number (32) 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 3597897388032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523263380800).

3597897388032 is an abundant number, since it is smaller than the sum of its proper divisors (7448629373568).

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

3597897388032 is a wasteful number, since it uses less digits than its factorization.

3597897388032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 3597897388032 in words is "three trillion, five hundred ninety-seven billion, eight hundred ninety-seven million, three hundred eighty-eight thousand, thirty-two".