3795025809456 has 120 divisors (see below), whose sum is σ = 12161907257760. Its totient is φ = 1082162700288.

The previous prime is 3795025809397. The next prime is 3795025809479. The reversal of 3795025809456 is 6549085205973.

3795025809456 is a `hidden beast` number, since 3 + 7 + 9 + 5 + 0 + 2 + 580 + 9 + 45 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3795025809393 and 3795025809402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3185265 + ... + 4211408.

It is an arithmetic number, because the mean of its divisors is an integer number (101349227148).

Almost surely, 2^{3795025809456} is an apocalyptic number.

3795025809456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3795025809456 is an abundant number, since it is smaller than the sum of its proper divisors (8366881448304).

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

3795025809456 is a wasteful number, since it uses less digits than its factorization.

3795025809456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7397203 (or 7397194 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 3795025809456 in words is "three trillion, seven hundred ninety-five billion, twenty-five million, eight hundred nine thousand, four hundred fifty-six".