38590560 has 96 divisors (see below), whose sum is σ = 135082080. Its totient is φ = 10289664.

The previous prime is 38590537. The next prime is 38590579. The reversal of 38590560 is 6509583.

38590560 is a `hidden beast` number, since 3 + 8 + 5 + 90 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38590560² = 2978462642227200, which contains 22 as substring.

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, 147 + ... + 8786.

It is an arithmetic number, because the mean of its divisors is an integer number (1407105).

Almost surely, 2^38590560 is an apocalyptic number.

38590560 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 38590560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67541040).

38590560 is an abundant number, since it is smaller than the sum of its proper divisors (96491520).

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

38590560 is a wasteful number, since it uses less digits than its factorization.

38590560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8957 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38590560 is about 6212.1300694689. The cubic root of 38590560 is about 337.9302167947.

The spelling of 38590560 in words is "thirty-eight million, five hundred ninety thousand, five hundred sixty".