3639097225764 has 2016 divisors, whose sum is σ = 14031899723520. Its totient is φ = 800124272640.

The previous prime is 3639097225739. The next prime is 3639097225793. The reversal of 3639097225764 is 4675227909363.

3639097225764 is a `hidden beast` number, since 3 + 6 + 39 + 0 + 9 + 7 + 22 + 576 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 32204400172 + ... + 32204400284.

It is an arithmetic number, because the mean of its divisors is an integer number (6960267720).

Almost surely, 2^{3639097225764} is an apocalyptic number.

3639097225764 is a gapful number since it is divisible by the number (34) 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 3639097225764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015949861760).

3639097225764 is an abundant number, since it is smaller than the sum of its proper divisors (10392802497756).

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

3639097225764 is a wasteful number, since it uses less digits than its factorization.

3639097225764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 3639097225764 in words is "three trillion, six hundred thirty-nine billion, ninety-seven million, two hundred twenty-five thousand, seven hundred sixty-four".