38306880 has 168 divisors, whose sum is σ = 135038592. Its totient is φ = 9962496.

The previous prime is 38306861. The next prime is 38306881. The reversal of 38306880 is 8860383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38306881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135219 + ... + 135501.

Almost surely, 2^38306880 is an apocalyptic number.

38306880 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 38306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67519296).

38306880 is an abundant number, since it is smaller than the sum of its proper divisors (96731712).

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

38306880 is a wasteful number, since it uses less digits than its factorization.

38306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38306880 is about 6189.2552055962. The cubic root of 38306880 is about 337.1001354876.

The spelling of 38306880 in words is "thirty-eight million, three hundred six thousand, eight hundred eighty".