38764040 has 64 divisors (see below), whose sum is σ = 100396800. Its totient is φ = 13195008.

The previous prime is 38764021. The next prime is 38764057. The reversal of 38764040 is 4046783.

It is a happy number.

38764040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38763988 and 38764006.

It is an unprimeable number.

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, 46346 + ... + 47174.

It is an arithmetic number, because the mean of its divisors is an integer number (1568700).

Almost surely, 2^38764040 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 38764040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50198400).

38764040 is an abundant number, since it is smaller than the sum of its proper divisors (61632760).

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

38764040 is a wasteful number, since it uses less digits than its factorization.

38764040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38764040 is about 6226.0774168010. The cubic root of 38764040 is about 338.4358370503.

The spelling of 38764040 in words is "thirty-eight million, seven hundred sixty-four thousand, forty".