38304864 has 108 divisors (see below), whose sum is σ = 118103076. Its totient is φ = 11771136.

The previous prime is 38304863. The next prime is 38304883. The reversal of 38304864 is 46840383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38304863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48279 + ... + 49065.

It is an arithmetic number, because the mean of its divisors is an integer number (1093547).

Almost surely, 2^38304864 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 38304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59051538).

38304864 is an abundant number, since it is smaller than the sum of its proper divisors (79798212).

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

38304864 is a wasteful number, since it uses less digits than its factorization.

38304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38304864 is about 6189.0923405617. The cubic root of 38304864 is about 337.0942217910.

The spelling of 38304864 in words is "thirty-eight million, three hundred four thousand, eight hundred sixty-four".