387045120 has 648 divisors, whose sum is σ = 1673520912. Its totient is φ = 75694080.

The previous prime is 387045119. The next prime is 387045149. The reversal of 387045120 is 21540783.

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 71 ways as a sum of consecutive naturals, for example, 22767352 + ... + 22767368.

It is an arithmetic number, because the mean of its divisors is an integer number (2582594).

Almost surely, 2^387045120 is an apocalyptic number.

387045120 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 387045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836760456).

387045120 is an abundant number, since it is smaller than the sum of its proper divisors (1286475792).

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

387045120 is a wasteful number, since it uses less digits than its factorization.

387045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 387045120 is about 19673.4623287311. The cubic root of 387045120 is about 728.7644829209.

The spelling of 387045120 in words is "three hundred eighty-seven million, forty-five thousand, one hundred twenty".