38004880 has 40 divisors (see below), whose sum is σ = 89619264. Its totient is φ = 14985600.

The previous prime is 38004871. The next prime is 38004887. The reversal of 38004880 is 8840083.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (38004887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2335 + ... + 9025.

Almost surely, 2^38004880 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 38004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44809632).

38004880 is an abundant number, since it is smaller than the sum of its proper divisors (51614384).

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

38004880 is a wasteful number, since it uses less digits than its factorization.

38004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6775 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 38004880 is about 6164.8098105294. The cubic root of 38004880 is about 336.2119316779.

The spelling of 38004880 in words is "thirty-eight million, four thousand, eight hundred eighty".