38144480 has 48 divisors (see below), whose sum is σ = 98313264. Its totient is φ = 13870080.

The previous prime is 38144467. The next prime is 38144489. The reversal of 38144480 is 8444183.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38144489) 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, 9077 + ... + 12596.

It is an arithmetic number, because the mean of its divisors is an integer number (2048193).

Almost surely, 2^38144480 is an apocalyptic number.

It is an amenable number.

38144480 is an abundant number, since it is smaller than the sum of its proper divisors (60168784).

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

38144480 is a wasteful number, since it uses less digits than its factorization.

38144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21699 (or 21691 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 38144480 is about 6176.1217604578. The cubic root of 38144480 is about 336.6230879558.

The spelling of 38144480 in words is "thirty-eight million, one hundred forty-four thousand, four hundred eighty".