38621520 has 240 divisors, whose sum is σ = 151656960. Its totient is φ = 8626176.

The previous prime is 38621519. The next prime is 38621581. The reversal of 38621520 is 2512683.

38621520 is a `hidden beast` number, since 38 + 621 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×38621520² = 2983243614220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398112 + ... + 398208.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 2^38621520 is an apocalyptic number.

38621520 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 38621520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828480).

38621520 is an abundant number, since it is smaller than the sum of its proper divisors (113035440).

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

38621520 is a wasteful number, since it uses less digits than its factorization.

38621520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38621520 is about 6214.6214687622. The cubic root of 38621520 is about 338.0205629216.

The spelling of 38621520 in words is "thirty-eight million, six hundred twenty-one thousand, five hundred twenty".