38377680 has 80 divisors (see below), whose sum is σ = 129795264. Its totient is φ = 9303040.

The previous prime is 38377679. The next prime is 38377693. The reversal of 38377680 is 8677383.

It is a happy number.

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

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, 4629 + ... + 9908.

Almost surely, 2^38377680 is an apocalyptic number.

38377680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38377680 is an abundant number, since it is smaller than the sum of its proper divisors (91417584).

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

38377680 is a wasteful number, since it uses less digits than its factorization.

38377680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14564 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 38377680 is about 6194.9721549011. The cubic root of 38377680 is about 337.3076874204.

The spelling of 38377680 in words is "thirty-eight million, three hundred seventy-seven thousand, six hundred eighty".