38713280 has 56 divisors (see below), whose sum is σ = 92720160. Its totient is φ = 15395840.

The previous prime is 38713273. The next prime is 38713303. The reversal of 38713280 is 8231783.

38713280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99326 + ... + 99714.

Almost surely, 2^38713280 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 38713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46360080).

38713280 is an abundant number, since it is smaller than the sum of its proper divisors (54006880).

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

38713280 is a wasteful number, since it uses less digits than its factorization.

38713280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 38713280 is about 6221.9996785599. Note that the first 3 decimals coincide. The cubic root of 38713280 is about 338.2880496769.

38713280 divided by its sum of digits (32) gives a triangular number (1209790 = T₁₅₅₅).

The spelling of 38713280 in words is "thirty-eight million, seven hundred thirteen thousand, two hundred eighty".