3613596406272 has 720 divisors, whose sum is σ = 11162669918400. Its totient is φ = 1168206520320.

The previous prime is 3613596406247. The next prime is 3613596406297. The reversal of 3613596406272 is 2726046953163.

3613596406272 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 5 + 9 + 6 + 4 + 0 + 627 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3613596406247) and next prime (3613596406297).

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 71 ways as a sum of consecutive naturals, for example, 25997096379 + ... + 25997096517.

It is an arithmetic number, because the mean of its divisors is an integer number (15503708220).

Almost surely, 2^{3613596406272} is an apocalyptic number.

3613596406272 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 3613596406272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581334959200).

3613596406272 is an abundant number, since it is smaller than the sum of its proper divisors (7549073512128).

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

3613596406272 is an frugal number, since it uses more digits than its factorization.

3613596406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 3613596406272 in words is "three trillion, six hundred thirteen billion, five hundred ninety-six million, four hundred six thousand, two hundred seventy-two".