38100960 has 72 divisors (see below), whose sum is σ = 130024440. Its totient is φ = 10159872.

The previous prime is 38100941. The next prime is 38100971. The reversal of 38100960 is 6900183.

38100960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11790 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (1805895).

Almost surely, 2^38100960 is an apocalyptic number.

38100960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38100960 is an abundant number, since it is smaller than the sum of its proper divisors (91923480).

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

38100960 is a wasteful number, since it uses less digits than its factorization.

38100960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26480 (or 26469 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38100960 is about 6172.5975083428. The cubic root of 38100960 is about 336.4950186452.

It can be divided in two parts, 38100 and 960, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 38100960 in words is "thirty-eight million, one hundred thousand, nine hundred sixty".