39764768 has 48 divisors (see below), whose sum is σ = 84206304. Its totient is φ = 18416640.

The previous prime is 39764737. The next prime is 39764807. The reversal of 39764768 is 86746793.

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 7 ways as a sum of consecutive naturals, for example, 35903 + ... + 36993.

It is an arithmetic number, because the mean of its divisors is an integer number (1754298).

Almost surely, 2^39764768 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 39764768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42103152).

39764768 is an abundant number, since it is smaller than the sum of its proper divisors (44441536).

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

39764768 is a wasteful number, since it uses less digits than its factorization.

39764768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1177 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 39764768 is about 6305.9311762816. The cubic root of 39764768 is about 341.3234690888.

The spelling of 39764768 in words is "thirty-nine million, seven hundred sixty-four thousand, seven hundred sixty-eight".