38880672 has 48 divisors (see below), whose sum is σ = 106505280. Its totient is φ = 12396032.

The previous prime is 38880671. The next prime is 38880689. The reversal of 38880672 is 27608883.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (38880671) 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, 6597 + ... + 11012.

It is an arithmetic number, because the mean of its divisors is an integer number (2218860).

Almost surely, 2^38880672 is an apocalyptic number.

38880672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38880672 is an abundant number, since it is smaller than the sum of its proper divisors (67624608).

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

38880672 is a wasteful number, since it uses less digits than its factorization.

38880672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17645 (or 17637 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 38880672 is about 6235.4367930402. The cubic root of 38880672 is about 338.7749221644.

The spelling of 38880672 in words is "thirty-eight million, eight hundred eighty thousand, six hundred seventy-two".