386830049760 has 1152 divisors, whose sum is σ = 1725886310400. Its totient is φ = 79194931200.

The previous prime is 386830049741. The next prime is 386830049813. The reversal of 386830049760 is 67940038683.

386830049760 is a `hidden beast` number, since 3 + 8 + 68 + 30 + 0 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 386830049697 and 386830049706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259791096 + ... + 259792584.

It is an arithmetic number, because the mean of its divisors is an integer number (1498165200).

Almost surely, 2^386830049760 is an apocalyptic number.

386830049760 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 386830049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862943155200).

386830049760 is an abundant number, since it is smaller than the sum of its proper divisors (1339056260640).

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

386830049760 is a wasteful number, since it uses less digits than its factorization.

386830049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 386830049760 in words is "three hundred eighty-six billion, eight hundred thirty million, forty-nine thousand, seven hundred sixty".