385685713296 has 225 divisors, whose sum is σ = 1209671359281. Its totient is φ = 118583097984.

The previous prime is 385685713277. The next prime is 385685713321. The reversal of 385685713296 is 692317586583.

The square root of 385685713296 is 621036.

It is a perfect power (a square), and thus also a powerful number.

385685713296 is a `hidden beast` number, since 3 + 8 + 56 + 8 + 571 + 3 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57054099600 + 328631613696 = 238860^2 + 573264^2 .

It is a super-2 number, since 2×385685713296² (a number of 24 digits) contains 22 as substring.

Its product of digits (65318400) is a multiple of the sum of its prime factors (2700).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 290644185 + ... + 290645511.

Almost surely, 2^385685713296 is an apocalyptic number.

385685713296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

385685713296 is the 621036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385685713296

385685713296 is an abundant number, since it is smaller than the sum of its proper divisors (823985645985).

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

385685713296 is an equidigital number, since it uses as much as digits as its factorization.

385685713296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700 (or 1345 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 385685713296 in words is "three hundred eighty-five billion, six hundred eighty-five million, seven hundred thirteen thousand, two hundred ninety-six".