3625257848832 has 832 divisors, whose sum is σ = 11660859624960. Its totient is φ = 1108906868736.

The previous prime is 3625257848819. The next prime is 3625257848837. The reversal of 3625257848832 is 2388487525263.

3625257848832 is a `hidden beast` number, since 3 + 6 + 2 + 52 + 5 + 78 + 488 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3625257848832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3625257848837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18783719328 + ... + 18783719520.

It is an arithmetic number, because the mean of its divisors is an integer number (14015456280).

Almost surely, 2^{3625257848832} is an apocalyptic number.

3625257848832 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 3625257848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5830429812480).

3625257848832 is an abundant number, since it is smaller than the sum of its proper divisors (8035601776128).

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

3625257848832 is a wasteful number, since it uses less digits than its factorization.

3625257848832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 415 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 3625257848832 in words is "three trillion, six hundred twenty-five billion, two hundred fifty-seven million, eight hundred forty-eight thousand, eight hundred thirty-two".