38221680 has 80 divisors (see below), whose sum is σ = 135419904. Its totient is φ = 8736000.

The previous prime is 38221679. The next prime is 38221709. The reversal of 38221680 is 8612283.

38221680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (30).

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 15 ways as a sum of consecutive naturals, for example, 9696 + ... + 13055.

Almost surely, 2^38221680 is an apocalyptic number.

38221680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38221680 is an abundant number, since it is smaller than the sum of its proper divisors (97198224).

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

38221680 is a wasteful number, since it uses less digits than its factorization.

38221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22774 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 38221680 is about 6182.3684781805. The cubic root of 38221680 is about 336.8500302754.

The spelling of 38221680 in words is "thirty-eight million, two hundred twenty-one thousand, six hundred eighty".