387357120 has 224 divisors, whose sum is σ = 1382572800. Its totient is φ = 102085632.

The previous prime is 387357109. The next prime is 387357149. The reversal of 387357120 is 21753783.

387357120 is a `hidden beast` number, since 3 + 87 + 3 + 571 + 2 + 0 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 924271 + ... + 924689.

It is an arithmetic number, because the mean of its divisors is an integer number (6172200).

Almost surely, 2^387357120 is an apocalyptic number.

387357120 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 387357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691286400).

387357120 is an abundant number, since it is smaller than the sum of its proper divisors (995215680).

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

387357120 is a wasteful number, since it uses less digits than its factorization.

387357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 387357120 is about 19681.3901948008. The cubic root of 387357120 is about 728.9602511816.

The spelling of 387357120 in words is "three hundred eighty-seven million, three hundred fifty-seven thousand, one hundred twenty".