386233734096 has 360 divisors, whose sum is σ = 1304782202880. Its totient is φ = 106527875328.

The previous prime is 386233734091. The next prime is 386233734151. The reversal of 386233734096 is 690437332683.

386233734096 is a `hidden beast` number, since 3 + 8 + 623 + 3 + 7 + 3 + 4 + 0 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386233734091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70183281 + ... + 70188783.

It is an arithmetic number, because the mean of its divisors is an integer number (3624395008).

Almost surely, 2^386233734096 is an apocalyptic number.

386233734096 is a gapful number since it is divisible by the number (36) 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 386233734096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652391101440).

386233734096 is an abundant number, since it is smaller than the sum of its proper divisors (918548468784).

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

386233734096 is an equidigital number, since it uses as much as digits as its factorization.

386233734096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5581 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 386233734096 in words is "three hundred eighty-six billion, two hundred thirty-three million, seven hundred thirty-four thousand, ninety-six".