3825627447096 has 256 divisors, whose sum is σ = 13432559078400. Its totient is φ = 981687403008.

The previous prime is 3825627447077. The next prime is 3825627447167. The reversal of 3825627447096 is 6907447265283.

3825627447096 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 6 + 2 + 74 + 470 + 96 = 666.

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

It is a congruent number.

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, 1902850 + ... + 3357393.

It is an arithmetic number, because the mean of its divisors is an integer number (52470933900).

Almost surely, 2^{3825627447096} is an apocalyptic number.

3825627447096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3825627447096 is an abundant number, since it is smaller than the sum of its proper divisors (9606931631304).

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

3825627447096 is a wasteful number, since it uses less digits than its factorization.

3825627447096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260315 (or 5260305 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3825627447096 in words is "three trillion, eight hundred twenty-five billion, six hundred twenty-seven million, four hundred forty-seven thousand, ninety-six".