38331360 has 192 divisors, whose sum is σ = 141523200. Its totient is φ = 9662976.

The previous prime is 38331331. The next prime is 38331383. The reversal of 38331360 is 6313383.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 81847 + ... + 82313.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^38331360 is an apocalyptic number.

38331360 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 38331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

38331360 is an abundant number, since it is smaller than the sum of its proper divisors (103191840).

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

38331360 is a wasteful number, since it uses less digits than its factorization.

38331360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 38331360 is about 6191.2325105749. The cubic root of 38331360 is about 337.1719281098.

The spelling of 38331360 in words is "thirty-eight million, three hundred thirty-one thousand, three hundred sixty".