39957408 has 96 divisors (see below), whose sum is σ = 117936000. Its totient is φ = 13160448.

The previous prime is 39957377. The next prime is 39957413. The reversal of 39957408 is 80475993.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88768 + ... + 89216.

It is an arithmetic number, because the mean of its divisors is an integer number (1228500).

Almost surely, 2^39957408 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 39957408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

39957408 is an abundant number, since it is smaller than the sum of its proper divisors (77978592).

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

39957408 is a wasteful number, since it uses less digits than its factorization.

39957408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 39957408 is about 6321.1872302598. The cubic root of 39957408 is about 341.8737607335.

The spelling of 39957408 in words is "thirty-nine million, nine hundred fifty-seven thousand, four hundred eight".