386820720 has 540 divisors, whose sum is σ = 1630147896. Its totient is φ = 81469440.

The previous prime is 386820713. The next prime is 386820727. The reversal of 386820720 is 27028683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (386820713) and next prime (386820727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386820727) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 22754152 + ... + 22754168.

Almost surely, 2^386820720 is an apocalyptic number.

386820720 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 386820720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815073948).

386820720 is an abundant number, since it is smaller than the sum of its proper divisors (1243327176).

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

386820720 is a wasteful number, since it uses less digits than its factorization.

386820720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 386820720 is about 19667.7583877777. The cubic root of 386820720 is about 728.6236153095.

The spelling of 386820720 in words is "three hundred eighty-six million, eight hundred twenty thousand, seven hundred twenty".