386377920 has 336 divisors, whose sum is σ = 1464503040. Its totient is φ = 93063168.

The previous prime is 386377909. The next prime is 386377931. The reversal of 386377920 is 29773683.

It is a happy number.

386377920 is a `hidden beast` number, since 3 + 8 + 637 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (386377909) and next prime (386377931).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258407 + ... + 1258713.

It is an arithmetic number, because the mean of its divisors is an integer number (4358640).

Almost surely, 2^386377920 is an apocalyptic number.

386377920 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 386377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732251520).

386377920 is an abundant number, since it is smaller than the sum of its proper divisors (1078125120).

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

386377920 is a wasteful number, since it uses less digits than its factorization.

386377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 386377920 is about 19656.4981621855. The cubic root of 386377920 is about 728.3454867029.

The spelling of 386377920 in words is "three hundred eighty-six million, three hundred seventy-seven thousand, nine hundred twenty".