38668480 has 56 divisors (see below), whose sum is σ = 92811600. Its totient is φ = 15344640.

The previous prime is 38668471. The next prime is 38668499. The reversal of 38668480 is 8486683.

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, 47275 + ... + 48085.

It is an arithmetic number, because the mean of its divisors is an integer number (1657350).

Almost surely, 2^38668480 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 38668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46405800).

38668480 is an abundant number, since it is smaller than the sum of its proper divisors (54143120).

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

38668480 is a wasteful number, since it uses less digits than its factorization.

38668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 38668480 is about 6218.3985076545. The cubic root of 38668480 is about 338.1575074407.

The spelling of 38668480 in words is "thirty-eight million, six hundred sixty-eight thousand, four hundred eighty".