38644560 has 80 divisors (see below), whose sum is σ = 133116480. Its totient is φ = 10304640.

The previous prime is 38644517. The next prime is 38644597. The reversal of 38644560 is 6544683.

38644560 is a `hidden beast` number, since 3 + 8 + 644 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6786 + ... + 11105.

It is an arithmetic number, because the mean of its divisors is an integer number (1663956).

Almost surely, 2^38644560 is an apocalyptic number.

38644560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38644560 is an abundant number, since it is smaller than the sum of its proper divisors (94471920).

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

38644560 is a wasteful number, since it uses less digits than its factorization.

38644560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17913 (or 17901 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 38644560 is about 6216.4748853349. The cubic root of 38644560 is about 338.0877659181.

It can be divided in two parts, 38644 and 560, that added together give a square (39204 = 198²).

The spelling of 38644560 in words is "thirty-eight million, six hundred forty-four thousand, five hundred sixty".