3825900456 has 64 divisors (see below), whose sum is σ = 11574161280. Its totient is φ = 1028812800.

The previous prime is 3825900451. The next prime is 3825900467. The reversal of 3825900456 is 6540095283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3825900451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666945 + ... + 672656.

It is an arithmetic number, because the mean of its divisors is an integer number (180846270).

Almost surely, 2^3825900456 is an apocalyptic number.

It is an amenable number.

3825900456 is an abundant number, since it is smaller than the sum of its proper divisors (7748260824).

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

3825900456 is a wasteful number, since it uses less digits than its factorization.

3825900456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339634 (or 1339630 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3825900456 is about 61853.8637111701. The cubic root of 3825900456 is about 1564.0281139540.

The spelling of 3825900456 in words is "three billion, eight hundred twenty-five million, nine hundred thousand, four hundred fifty-six".