385695626400 has 1728 divisors, whose sum is σ = 1712146415616. Its totient is φ = 82861056000.

The previous prime is 385695626389. The next prime is 385695626453. The reversal of 385695626400 is 4626596583.

385695626400 is a `hidden beast` number, since 3 + 8 + 5 + 6 + 9 + 5 + 626 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×385695626400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1729576689 + ... + 1729576911.

It is an arithmetic number, because the mean of its divisors is an integer number (990825472).

Almost surely, 2^385695626400 is an apocalyptic number.

385695626400 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 385695626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856073207808).

385695626400 is an abundant number, since it is smaller than the sum of its proper divisors (1326450789216).

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

385695626400 is a wasteful number, since it uses less digits than its factorization.

385695626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 385695626400 in words is "three hundred eighty-five billion, six hundred ninety-five million, six hundred twenty-six thousand, four hundred".