38638560 has 96 divisors (see below), whose sum is σ = 123070752. Its totient is φ = 10188800.

The previous prime is 38638543. The next prime is 38638583. The reversal of 38638560 is 6583683.

It is a tau number, because it is divible by the number of its divisors (96).

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, 48082 + ... + 48878.

It is an arithmetic number, because the mean of its divisors is an integer number (1281987).

Almost surely, 2^38638560 is an apocalyptic number.

38638560 is a gapful number since it is divisible by the number (30) 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 38638560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61535376).

38638560 is an abundant number, since it is smaller than the sum of its proper divisors (84432192).

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

38638560 is a wasteful number, since it uses less digits than its factorization.

38638560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 38638560 is about 6215.9922779875. The cubic root of 38638560 is about 338.0702677106.

The spelling of 38638560 in words is "thirty-eight million, six hundred thirty-eight thousand, five hundred sixty".