38864480 has 96 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 14536192.

The previous prime is 38864459. The next prime is 38864509. The reversal of 38864480 is 8446883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217031 + ... + 217209.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 2^38864480 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 38864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

38864480 is an abundant number, since it is smaller than the sum of its proper divisors (59113120).

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

38864480 is a wasteful number, since it uses less digits than its factorization.

38864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 38864480 is about 6234.1382724479. The cubic root of 38864480 is about 338.7278876104.

The spelling of 38864480 in words is "thirty-eight million, eight hundred sixty-four thousand, four hundred eighty".