38624040 has 320 divisors, whose sum is σ = 160997760. Its totient is φ = 8087040.

The previous prime is 38624021. The next prime is 38624057. The reversal of 38624040 is 4042683.

38624040 is a `hidden beast` number, since 38 + 624 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 38623995 and 38624013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294775 + ... + 294905.

It is an arithmetic number, because the mean of its divisors is an integer number (503118).

Almost surely, 2^38624040 is an apocalyptic number.

38624040 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 38624040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80498880).

38624040 is an abundant number, since it is smaller than the sum of its proper divisors (122373720).

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

38624040 is a wasteful number, since it uses less digits than its factorization.

38624040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38624040 is about 6214.8242131214. The cubic root of 38624040 is about 338.0279145509.

The spelling of 38624040 in words is "thirty-eight million, six hundred twenty-four thousand, forty".