39872448 has 336 divisors, whose sum is σ = 152156160. Its totient is φ = 9676800.

The previous prime is 39872423. The next prime is 39872461. The reversal of 39872448 is 84427893.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (387072) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286193 + ... + 1286223.

Almost surely, 2^39872448 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 39872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078080).

39872448 is an abundant number, since it is smaller than the sum of its proper divisors (112283712).

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

39872448 is a wasteful number, since it uses less digits than its factorization.

39872448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 39872448 is about 6314.4633976293. The cubic root of 39872448 is about 341.6312841673.

The spelling of 39872448 in words is "thirty-nine million, eight hundred seventy-two thousand, four hundred forty-eight".