39225888 has 72 divisors (see below), whose sum is σ = 120140748. Its totient is φ = 12068352.

The previous prime is 39225877. The next prime is 39225913. The reversal of 39225888 is 88852293.

39225888 is a `hidden beast` number, since 392 + 258 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39087504 + 138384 = 6252^2 + 372^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1495 + ... + 8982.

Almost surely, 2^39225888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60070374).

39225888 is an abundant number, since it is smaller than the sum of its proper divisors (80914860).

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

39225888 is a wasteful number, since it uses less digits than its factorization.

39225888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10506 (or 10495 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 39225888 is about 6263.0574003437. The cubic root of 39225888 is about 339.7746141773.

The spelling of 39225888 in words is "thirty-nine million, two hundred twenty-five thousand, eight hundred eighty-eight".