38786904 has 128 divisors (see below), whose sum is σ = 122304000. Its totient is φ = 11290752.

The previous prime is 38786893. The next prime is 38786927. The reversal of 38786904 is 40968783.

It is a happy number.

It is a super-3 number, since 3×38786904³ (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 38786904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52989 + ... + 53715.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 2^38786904 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 38786904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61152000).

38786904 is an abundant number, since it is smaller than the sum of its proper divisors (83517096).

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

38786904 is a wasteful number, since it uses less digits than its factorization.

38786904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 38786904 is about 6227.9132941941. The cubic root of 38786904 is about 338.5023632786.

The spelling of 38786904 in words is "thirty-eight million, seven hundred eighty-six thousand, nine hundred four".