38803968 has 160 divisors (see below), whose sum is σ = 131598720. Its totient is φ = 11059200.

The previous prime is 38803957. The next prime is 38803987. The reversal of 38803968 is 86930883.

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, 96568 + ... + 96968.

It is an arithmetic number, because the mean of its divisors is an integer number (822492).

Almost surely, 2^38803968 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 38803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65799360).

38803968 is an abundant number, since it is smaller than the sum of its proper divisors (92794752).

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

38803968 is an equidigital number, since it uses as much as digits as its factorization.

38803968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38803968 is about 6229.2831048203. The cubic root of 38803968 is about 338.5519965042.

The spelling of 38803968 in words is "thirty-eight million, eight hundred three thousand, nine hundred sixty-eight".