38615616 has 168 divisors, whose sum is σ = 124260864. Its totient is φ = 11819520.

The previous prime is 38615609. The next prime is 38615639. The reversal of 38615616 is 61651683.

It is a happy number.

38615616 is a `hidden beast` number, since 38 + 6 + 1 + 5 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202081 + ... + 202271.

It is an arithmetic number, because the mean of its divisors is an integer number (739648).

Almost surely, 2^38615616 is an apocalyptic number.

38615616 is a gapful number since it is divisible by the number (36) 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 38615616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62130432).

38615616 is an abundant number, since it is smaller than the sum of its proper divisors (85645248).

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

38615616 is a wasteful number, since it uses less digits than its factorization.

38615616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 38615616 is about 6214.1464417891. The cubic root of 38615616 is about 338.0033378520.

The spelling of 38615616 in words is "thirty-eight million, six hundred fifteen thousand, six hundred sixteen".