3625648633200 has 480 divisors, whose sum is σ = 13066843882752. Its totient is φ = 851613696000.

The previous prime is 3625648633193. The next prime is 3625648633219. The reversal of 3625648633200 is 23368465263.

It is a super-2 number, since 2×3625648633200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3625648633200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117688999 + ... + 117719801.

Almost surely, 2^{3625648633200} is an apocalyptic number.

3625648633200 is a gapful number since it is divisible by the number (30) 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 3625648633200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533421941376).

3625648633200 is an abundant number, since it is smaller than the sum of its proper divisors (9441195249552).

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

3625648633200 is a wasteful number, since it uses less digits than its factorization.

3625648633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31113 (or 31102 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 3625648633200 in words is "three trillion, six hundred twenty-five billion, six hundred forty-eight million, six hundred thirty-three thousand, two hundred".