39408096 has 144 divisors (see below), whose sum is σ = 128386944. Its totient is φ = 10363392.

The previous prime is 39408073. The next prime is 39408107. The reversal of 39408096 is 69080493.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 113395 + ... + 113741.

It is an arithmetic number, because the mean of its divisors is an integer number (891576).

Almost surely, 2^39408096 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 39408096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64193472).

39408096 is an abundant number, since it is smaller than the sum of its proper divisors (88978848).

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

39408096 is a wasteful number, since it uses less digits than its factorization.

39408096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 39408096 is about 6277.5867974883. The cubic root of 39408096 is about 340.2998968747.

The spelling of 39408096 in words is "thirty-nine million, four hundred eight thousand, ninety-six".