38508960 has 192 divisors, whose sum is σ = 141426432. Its totient is φ = 8626176.

The previous prime is 38508959. The next prime is 38508973. The reversal of 38508960 is 6980583.

38508960 = 690² + 691² + ... + 762².

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245202 + ... + 245358.

It is an arithmetic number, because the mean of its divisors is an integer number (736596).

Almost surely, 2^38508960 is an apocalyptic number.

38508960 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 38508960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70713216).

38508960 is an abundant number, since it is smaller than the sum of its proper divisors (102917472).

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

38508960 is a wasteful number, since it uses less digits than its factorization.

38508960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 38508960 is about 6205.5587983678. The cubic root of 38508960 is about 337.6918634731.

The spelling of 38508960 in words is "thirty-eight million, five hundred eight thousand, nine hundred sixty".