39774768 has 80 divisors (see below), whose sum is σ = 113778432. Its totient is φ = 11872000.

The previous prime is 39774743. The next prime is 39774769. The reversal of 39774768 is 86747793.

39774768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 39774768.

It is not an unprimeable number, because it can be changed into a prime (39774769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36958 + ... + 38018.

Almost surely, 2^39774768 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 39774768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56889216).

39774768 is an abundant number, since it is smaller than the sum of its proper divisors (74003664).

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

39774768 is a wasteful number, since it uses less digits than its factorization.

39774768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 39774768 is about 6306.7240307469. The cubic root of 39774768 is about 341.3520785739.

The spelling of 39774768 in words is "thirty-nine million, seven hundred seventy-four thousand, seven hundred sixty-eight".