38978688 has 128 divisors (see below), whose sum is σ = 125435520. Its totient is φ = 10469376.

The previous prime is 38978677. The next prime is 38978689. The reversal of 38978688 is 88687983.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38978689) 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, 45270 + ... + 46122.

It is an arithmetic number, because the mean of its divisors is an integer number (979965).

Almost surely, 2^38978688 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 38978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62717760).

38978688 is an abundant number, since it is smaller than the sum of its proper divisors (86456832).

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

38978688 is a wasteful number, since it uses less digits than its factorization.

38978688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 882 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 38978688 is about 6243.2914396174. The cubic root of 38978688 is about 339.0593608252.

The spelling of 38978688 in words is "thirty-eight million, nine hundred seventy-eight thousand, six hundred eighty-eight".