39715968 has 64 divisors (see below), whose sum is σ = 107344800. Its totient is φ = 13006848.

The previous prime is 39715957. The next prime is 39716011. The reversal of 39715968 is 86951793.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×39715968² = 3154716228354048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21780 + ... + 23532.

Almost surely, 2^39715968 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 39715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53672400).

39715968 is an abundant number, since it is smaller than the sum of its proper divisors (67628832).

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

39715968 is a wasteful number, since it uses less digits than its factorization.

39715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its digits is 408240, while the sum is 48.

The square root of 39715968 is about 6302.0606153861. The cubic root of 39715968 is about 341.1837859428.

The spelling of 39715968 in words is "thirty-nine million, seven hundred fifteen thousand, nine hundred sixty-eight".