38988864 has 168 divisors, whose sum is σ = 122041920. Its totient is φ = 12317184.

The previous prime is 38988863. The next prime is 38988877. The reversal of 38988864 is 46888983.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38988864.

It is not an unprimeable number, because it can be changed into a prime (38988863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357642 + ... + 357750.

It is an arithmetic number, because the mean of its divisors is an integer number (726440).

Almost surely, 2^38988864 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 38988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020960).

38988864 is an abundant number, since it is smaller than the sum of its proper divisors (83053056).

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

38988864 is a wasteful number, since it uses less digits than its factorization.

38988864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 137 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 38988864 is about 6244.1063411829. The cubic root of 38988864 is about 339.0888638522.

It can be divided in two parts, 389 and 88864, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 38988864 in words is "thirty-eight million, nine hundred eighty-eight thousand, eight hundred sixty-four".