38713680 has 80 divisors (see below), whose sum is σ = 133354560. Its totient is φ = 10323072.

The previous prime is 38713679. The next prime is 38713721. The reversal of 38713680 is 8631783.

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

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 15 ways as a sum of consecutive naturals, for example, 6802 + ... + 11121.

It is an arithmetic number, because the mean of its divisors is an integer number (1666932).

Almost surely, 2^38713680 is an apocalyptic number.

38713680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38713680 is an abundant number, since it is smaller than the sum of its proper divisors (94640880).

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

38713680 is a wasteful number, since it uses less digits than its factorization.

38713680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17945 (or 17933 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 38713680 is about 6222.0318224837. The cubic root of 38713680 is about 338.2892147789.

It can be divided in two parts, 38713 and 680, that added together give a palindrome (39393).

The spelling of 38713680 in words is "thirty-eight million, seven hundred thirteen thousand, six hundred eighty".