385995746304 has 440 divisors, whose sum is σ = 1324962967328. Its totient is φ = 109645332480.

The previous prime is 385995746293. The next prime is 385995746347. The reversal of 385995746304 is 403647599583.

385995746304 is a `hidden beast` number, since 3 + 8 + 59 + 9 + 574 + 6 + 3 + 0 + 4 = 666.

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 39 ways as a sum of consecutive naturals, for example, 105088212 + ... + 105091884.

Almost surely, 2^385995746304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385995746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662481483664).

385995746304 is an abundant number, since it is smaller than the sum of its proper divisors (938967221024).

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

385995746304 is a wasteful number, since it uses less digits than its factorization.

385995746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 385995746304 in words is "three hundred eighty-five billion, nine hundred ninety-five million, seven hundred forty-six thousand, three hundred four".