385837733736 has 768 divisors, whose sum is σ = 1414533120000. Its totient is φ = 94097687040.

The previous prime is 385837733707. The next prime is 385837733741. The reversal of 385837733736 is 637337738583.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 262295481 + ... + 262296951.

It is an arithmetic number, because the mean of its divisors is an integer number (1841840000).

Almost surely, 2^385837733736 is an apocalyptic number.

385837733736 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 385837733736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707266560000).

385837733736 is an abundant number, since it is smaller than the sum of its proper divisors (1028695386264).

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

385837733736 is a wasteful number, since it uses less digits than its factorization.

385837733736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1558 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 63.

The spelling of 385837733736 in words is "three hundred eighty-five billion, eight hundred thirty-seven million, seven hundred thirty-three thousand, seven hundred thirty-six".