38144960 has 56 divisors (see below), whose sum is σ = 103814880. Its totient is φ = 13077504.

The previous prime is 38144929. The next prime is 38144987. The reversal of 38144960 is 6944183.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 38144960.

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, 6275 + ... + 10754.

Almost surely, 2^38144960 is an apocalyptic number.

It is an amenable number.

38144960 is an abundant number, since it is smaller than the sum of its proper divisors (65669920).

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

38144960 is a wasteful number, since it uses less digits than its factorization.

38144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17053 (or 17043 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 38144960 is about 6176.1606196730. The cubic root of 38144960 is about 336.6244999417.

The spelling of 38144960 in words is "thirty-eight million, one hundred forty-four thousand, nine hundred sixty".