38626560 has 216 divisors, whose sum is σ = 153054720. Its totient is φ = 8810496.

The previous prime is 38626537. The next prime is 38626561. The reversal of 38626560 is 6562683.

38626560 is a `hidden beast` number, since 38 + 62 + 6 + 560 = 666.

It is a super-2 number, since 2×38626560² = 2984022274867200, 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 not an unprimeable number, because it can be changed into a prime (38626561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80401 + ... + 80879.

Almost surely, 2^38626560 is an apocalyptic number.

38626560 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 38626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76527360).

38626560 is an abundant number, since it is smaller than the sum of its proper divisors (114428160).

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

38626560 is a wasteful number, since it uses less digits than its factorization.

38626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 38626560 is about 6215.0269508667. The cubic root of 38626560 is about 338.0352658604.

The spelling of 38626560 in words is "thirty-eight million, six hundred twenty-six thousand, five hundred sixty".