38231680 has 128 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 14131200.

The previous prime is 38231671. The next prime is 38231701. The reversal of 38231680 is 8613283.

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

It is a super-2 number, since 2×38231680² = 2923322711244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813417 + ... + 813463.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 2^38231680 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 38231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

38231680 is an abundant number, since it is smaller than the sum of its proper divisors (60471680).

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

38231680 is a wasteful number, since it uses less digits than its factorization.

38231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 38231680 is about 6183.1771768242. The cubic root of 38231680 is about 336.8794045867.

The spelling of 38231680 in words is "thirty-eight million, two hundred thirty-one thousand, six hundred eighty".