38270120 has 64 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 12695040.

The previous prime is 38270117. The next prime is 38270131. The reversal of 38270120 is 2107283.

38270120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6476 + ... + 10884.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 2^38270120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38270120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

38270120 is an abundant number, since it is smaller than the sum of its proper divisors (63336280).

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

38270120 is a wasteful number, since it uses less digits than its factorization.

38270120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4454 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 38270120 is about 6186.2848301707. The cubic root of 38270120 is about 336.9922717749.

The spelling of 38270120 in words is "thirty-eight million, two hundred seventy thousand, one hundred twenty".