38814960 has 40 divisors (see below), whose sum is σ = 120327120. Its totient is φ = 10350592.

The previous prime is 38814959. The next prime is 38814983. The reversal of 38814960 is 6941883.

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

It is a super-2 number, since 2×38814960² = 3013202239603200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80625 + ... + 81104.

It is an arithmetic number, because the mean of its divisors is an integer number (3008178).

Almost surely, 2^38814960 is an apocalyptic number.

38814960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38814960 is an abundant number, since it is smaller than the sum of its proper divisors (81512160).

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

38814960 is a wasteful number, since it uses less digits than its factorization.

38814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161745 (or 161739 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 38814960 is about 6230.1653268593. The cubic root of 38814960 is about 338.5839606942.

The spelling of 38814960 in words is "thirty-eight million, eight hundred fourteen thousand, nine hundred sixty".