38804976 has 120 divisors (see below), whose sum is σ = 125465184. Its totient is φ = 10967040.

The previous prime is 38804923. The next prime is 38805001. The reversal of 38804976 is 67940883.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 137956 + ... + 138236.

Almost surely, 2^38804976 is an apocalyptic number.

38804976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38804976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62732592).

38804976 is an abundant number, since it is smaller than the sum of its proper divisors (86660208).

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

38804976 is a wasteful number, since it uses less digits than its factorization.

38804976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 430 counting only the distinct ones).

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

The square root of 38804976 is about 6229.3640124815. The cubic root of 38804976 is about 338.5549279695.

The spelling of 38804976 in words is "thirty-eight million, eight hundred four thousand, nine hundred seventy-six".