38466304 has 72 divisors (see below), whose sum is σ = 82414080. Its totient is φ = 17875968.

The previous prime is 38466299. The next prime is 38466331. The reversal of 38466304 is 40366483.

It is a self number, because there is not a number n which added to its sum of digits gives 38466304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276667 + ... + 276805.

It is an arithmetic number, because the mean of its divisors is an integer number (1144640).

Almost surely, 2^38466304 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 38466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41207040).

38466304 is an abundant number, since it is smaller than the sum of its proper divisors (43947776).

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

38466304 is a wasteful number, since it uses less digits than its factorization.

38466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 38466304 is about 6202.1209275537. The cubic root of 38466304 is about 337.5671314107.

The spelling of 38466304 in words is "thirty-eight million, four hundred sixty-six thousand, three hundred four".