39875328 has 108 divisors (see below), whose sum is σ = 119414568. Its totient is φ = 13271040.

The previous prime is 39875323. The next prime is 39875351. The reversal of 39875328 is 82357893.

39875328 is a `hidden beast` number, since 39 + 87 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

Its product of digits (362880) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (39875321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61888 + ... + 62528.

Almost surely, 2^39875328 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 39875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59707284).

39875328 is an abundant number, since it is smaller than the sum of its proper divisors (79539240).

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

39875328 is an frugal number, since it uses more digits than its factorization.

39875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 646 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 39875328 is about 6314.6914413928. The cubic root of 39875328 is about 341.6395093492.

The spelling of 39875328 in words is "thirty-nine million, eight hundred seventy-five thousand, three hundred twenty-eight".