3597856722432 has 720 divisors, whose sum is σ = 12929804439552. Its totient is φ = 942346690560.

The previous prime is 3597856722409. The next prime is 3597856722479. The reversal of 3597856722432 is 2342276587953.

3597856722432 is a `hidden beast` number, since 3 + 5 + 9 + 7 + 8 + 567 + 22 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3597856722432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 360971913 + ... + 360981879.

Almost surely, 2^{3597856722432} is an apocalyptic number.

3597856722432 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 3597856722432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464902219776).

3597856722432 is an abundant number, since it is smaller than the sum of its proper divisors (9331947717120).

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

3597856722432 is a wasteful number, since it uses less digits than its factorization.

3597856722432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067 (or 10029 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 63.

The spelling of 3597856722432 in words is "three trillion, five hundred ninety-seven billion, eight hundred fifty-six million, seven hundred twenty-two thousand, four hundred thirty-two".