3625895438592 has 576 divisors, whose sum is σ = 12286109735424. Its totient is φ = 925504634880.

The previous prime is 3625895438587. The next prime is 3625895438621. The reversal of 3625895438592 is 2958345985263.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138628588 + ... + 138654740.

It is an arithmetic number, because the mean of its divisors is an integer number (21330051624).

Almost surely, 2^{3625895438592} is an apocalyptic number.

3625895438592 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 3625895438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143054867712).

3625895438592 is an abundant number, since it is smaller than the sum of its proper divisors (8660214296832).

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

3625895438592 is a wasteful number, since it uses less digits than its factorization.

3625895438592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26274 (or 26260 counting only the distinct ones).

The product of its digits is 559872000, while the sum is 69.

The spelling of 3625895438592 in words is "three trillion, six hundred twenty-five billion, eight hundred ninety-five million, four hundred thirty-eight thousand, five hundred ninety-two".