38615040 has 144 divisors (see below), whose sum is σ = 134152200. Its totient is φ = 10272768.

The previous prime is 38615039. The next prime is 38615047. The reversal of 38615040 is 4051683.

38615040 is a `hidden beast` number, since 3 + 8 + 615 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38615040² = 2982242628403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38614995 and 38615013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38615047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91951 + ... + 92369.

Almost surely, 2^38615040 is an apocalyptic number.

38615040 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 38615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67076100).

38615040 is an abundant number, since it is smaller than the sum of its proper divisors (95537160).

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

38615040 is a wasteful number, since it uses less digits than its factorization.

38615040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 429 counting only the distinct ones).

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

The square root of 38615040 is about 6214.1000957500. The cubic root of 38615040 is about 338.0016572634.

The spelling of 38615040 in words is "thirty-eight million, six hundred fifteen thousand, forty".