38115616 has 96 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 14342400.

The previous prime is 38115613. The next prime is 38115617. The reversal of 38115616 is 61651183.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (38115611) 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, 76135 + ... + 76633.

It is an arithmetic number, because the mean of its divisors is an integer number (1008000).

Almost surely, 2^38115616 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 38115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

38115616 is an abundant number, since it is smaller than the sum of its proper divisors (58652384).

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

38115616 is a wasteful number, since it uses less digits than its factorization.

38115616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its digits is 4320, while the sum is 31.

The square root of 38115616 is about 6173.7845767406. The cubic root of 38115616 is about 336.5381587549.

Adding to 38115616 its reverse (61651183), we get a palindrome (99766799).

The spelling of 38115616 in words is "thirty-eight million, one hundred fifteen thousand, six hundred sixteen".