3638802569472 has 1080 divisors, whose sum is σ = 12873131099136. Its totient is φ = 1019217862656.

The previous prime is 3638802569453. The next prime is 3638802569543. The reversal of 3638802569472 is 2749652088363.

It is a happy number.

3638802569472 is a `hidden beast` number, since 3 + 6 + 3 + 8 + 80 + 25 + 69 + 472 = 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 119 ways as a sum of consecutive naturals, for example, 21033540778 + ... + 21033540950.

Almost surely, 2^{3638802569472} is an apocalyptic number.

3638802569472 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 3638802569472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436565549568).

3638802569472 is an abundant number, since it is smaller than the sum of its proper divisors (9234328529664).

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

3638802569472 is a wasteful number, since it uses less digits than its factorization.

3638802569472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3638802569472 in words is "three trillion, six hundred thirty-eight billion, eight hundred two million, five hundred sixty-nine thousand, four hundred seventy-two".