386121120 has 384 divisors, whose sum is σ = 1569964032. Its totient is φ = 77414400.

The previous prime is 386121107. The next prime is 386121139. The reversal of 386121120 is 21121683.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1145592 + ... + 1145928.

It is an arithmetic number, because the mean of its divisors is an integer number (4088448).

Almost surely, 2^386121120 is an apocalyptic number.

386121120 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 386121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784982016).

386121120 is an abundant number, since it is smaller than the sum of its proper divisors (1183842912).

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

386121120 is a wasteful number, since it uses less digits than its factorization.

386121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 386121120 is about 19649.9648854648. The cubic root of 386121120 is about 728.1840898216.

The spelling of 386121120 in words is "three hundred eighty-six million, one hundred twenty-one thousand, one hundred twenty".