38640588 has 48 divisors (see below), whose sum is σ = 103676160. Its totient is φ = 10972224.

The previous prime is 38640587. The next prime is 38640593. The reversal of 38640588 is 88504683.

It is a super-3 number, since 3×38640588³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38640583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13203 + ... + 15861.

It is an arithmetic number, because the mean of its divisors is an integer number (2159920).

Almost surely, 2^38640588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38640588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51838080).

38640588 is an abundant number, since it is smaller than the sum of its proper divisors (65035572).

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

38640588 is a wasteful number, since it uses less digits than its factorization.

38640588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 38640588 is about 6216.1554034628. The cubic root of 38640588 is about 338.0761823073.

The spelling of 38640588 in words is "thirty-eight million, six hundred forty thousand, five hundred eighty-eight".