38058120 has 128 divisors (see below), whose sum is σ = 128304000. Its totient is φ = 10033920.

The previous prime is 38058103. The next prime is 38058133. The reversal of 38058120 is 2185083.

It is a happy number.

38058120 is a `hidden beast` number, since 3 + 80 + 581 + 2 + 0 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141346 + ... + 141614.

It is an arithmetic number, because the mean of its divisors is an integer number (1002375).

Almost surely, 2^38058120 is an apocalyptic number.

38058120 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 38058120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64152000).

38058120 is an abundant number, since it is smaller than the sum of its proper divisors (90245880).

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

38058120 is a wasteful number, since it uses less digits than its factorization.

38058120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 38058120 is about 6169.1263563004. The cubic root of 38058120 is about 336.3688551330.

The spelling of 38058120 in words is "thirty-eight million, fifty-eight thousand, one hundred twenty".