38804064 has 192 divisors, whose sum is σ = 121927680. Its totient is φ = 10690560.

The previous prime is 38804027. The next prime is 38804071. The reversal of 38804064 is 46040883.

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, 657667 + ... + 657725.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^38804064 is an apocalyptic number.

38804064 is a gapful number since it is divisible by the number (34) 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 38804064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

38804064 is an abundant number, since it is smaller than the sum of its proper divisors (83123616).

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

38804064 is a wasteful number, since it uses less digits than its factorization.

38804064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38804064 is about 6229.2908103571. The cubic root of 38804064 is about 338.5522756935.

The spelling of 38804064 in words is "thirty-eight million, eight hundred four thousand, sixty-four".