386137680 has 80 divisors (see below), whose sum is σ = 1199060160. Its totient is φ = 102795264.

The previous prime is 386137679. The next prime is 386137681. The reversal of 386137680 is 86731683.

It is an interprime number because it is at equal distance from previous prime (386137679) and next prime (386137681).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386137681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205224 + ... + 207096.

It is an arithmetic number, because the mean of its divisors is an integer number (14988252).

Almost surely, 2^386137680 is an apocalyptic number.

386137680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

386137680 is an abundant number, since it is smaller than the sum of its proper divisors (812922480).

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

386137680 is a wasteful number, since it uses less digits than its factorization.

386137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 386137680 is about 19650.3862557457. The cubic root of 386137680 is about 728.1944998161.

The spelling of 386137680 in words is "three hundred eighty-six million, one hundred thirty-seven thousand, six hundred eighty".