38724660 has 216 divisors, whose sum is σ = 135888480. Its totient is φ = 8895744.

The previous prime is 38724659. The next prime is 38724661. The reversal of 38724660 is 6642783.

It is an interprime number because it is at equal distance from previous prime (38724659) and next prime (38724661).

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 (38724661) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 577947 + ... + 578013.

Almost surely, 2^38724660 is an apocalyptic number.

38724660 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 38724660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67944240).

38724660 is an abundant number, since it is smaller than the sum of its proper divisors (97163820).

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

38724660 is a wasteful number, since it uses less digits than its factorization.

38724660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38724660 is about 6222.9141083579. The cubic root of 38724660 is about 338.3211936941.

The spelling of 38724660 in words is "thirty-eight million, seven hundred twenty-four thousand, six hundred sixty".