38107680 has 192 divisors, whose sum is σ = 134120448. Its totient is φ = 9031680.

The previous prime is 38107639. The next prime is 38107691. The reversal of 38107680 is 8670183.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193342 + ... + 193538.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 2^38107680 is an apocalyptic number.

38107680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060224).

38107680 is an abundant number, since it is smaller than the sum of its proper divisors (96012768).

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

38107680 is a wasteful number, since it uses less digits than its factorization.

38107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 38107680 is about 6173.1418256833. The cubic root of 38107680 is about 336.5148004179.

The spelling of 38107680 in words is "thirty-eight million, one hundred seven thousand, six hundred eighty".