38892960 has 120 divisors (see below), whose sum is σ = 137305476. Its totient is φ = 10368000.

The previous prime is 38892949. The next prime is 38892961. The reversal of 38892960 is 6929883.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 104976 = 6228^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (38892961) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11460 + ... + 14460.

Almost surely, 2^38892960 is an apocalyptic number.

38892960 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 38892960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68652738).

38892960 is an abundant number, since it is smaller than the sum of its proper divisors (98412516).

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

38892960 is a wasteful number, since it uses less digits than its factorization.

38892960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 38892960 is about 6236.4220511444. The cubic root of 38892960 is about 338.8106076567.

The spelling of 38892960 in words is "thirty-eight million, eight hundred ninety-two thousand, nine hundred sixty".