38680320 has 144 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 8835072.

The previous prime is 38680307. The next prime is 38680331. The reversal of 38680320 is 2308683.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26161 + ... + 27599.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^38680320 is an apocalyptic number.

38680320 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 38680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

38680320 is an abundant number, since it is smaller than the sum of its proper divisors (102600960).

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

38680320 is a wasteful number, since it uses less digits than its factorization.

38680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38680320 is about 6219.3504483989. The cubic root of 38680320 is about 338.1920176871.

The spelling of 38680320 in words is "thirty-eight million, six hundred eighty thousand, three hundred twenty".