385110034560 has 384 divisors, whose sum is σ = 1349706758400. Its totient is φ = 101170003968.

The previous prime is 385110034549. The next prime is 385110034567. The reversal of 385110034560 is 65430011583.

385110034560 is a `hidden beast` number, since 3 + 8 + 51 + 10 + 0 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (385110034567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157379257 + ... + 157381703.

It is an arithmetic number, because the mean of its divisors is an integer number (3514861350).

Almost surely, 2^385110034560 is an apocalyptic number.

385110034560 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 385110034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674853379200).

385110034560 is an abundant number, since it is smaller than the sum of its proper divisors (964596723840).

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

385110034560 is a wasteful number, since it uses less digits than its factorization.

385110034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 385110034560 in words is "three hundred eighty-five billion, one hundred ten million, thirty-four thousand, five hundred sixty".