38964880 has 80 divisors (see below), whose sum is σ = 95065344. Its totient is φ = 14837760.

The previous prime is 38964869. The next prime is 38964889. The reversal of 38964880 is 8846983.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 38964880.

It is not an unprimeable number, because it can be changed into a prime (38964889) 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, 161560 + ... + 161800.

Almost surely, 2^38964880 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 38964880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47532672).

38964880 is an abundant number, since it is smaller than the sum of its proper divisors (56100464).

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

38964880 is a wasteful number, since it uses less digits than its factorization.

38964880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 38964880 is about 6242.1855147056. The cubic root of 38964880 is about 339.0193194177.

The spelling of 38964880 in words is "thirty-eight million, nine hundred sixty-four thousand, eight hundred eighty".