349013560896 has 672 divisors, whose sum is σ = 1413911116800. Its totient is φ = 79272898560.

The previous prime is 349013560873. The next prime is 349013560901. The reversal of 349013560896 is 698065310943.

349013560896 is a `hidden beast` number, since 3 + 490 + 1 + 3 + 5 + 60 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10939015 + ... + 10970873.

It is an arithmetic number, because the mean of its divisors is an integer number (2104034400).

Almost surely, 2^349013560896 is an apocalyptic number.

349013560896 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 349013560896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706955558400).

349013560896 is an abundant number, since it is smaller than the sum of its proper divisors (1064897555904).

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

349013560896 is a wasteful number, since it uses less digits than its factorization.

349013560896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31927 (or 31914 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

It can be divided in two parts, 349013 and 560896, that added together give a palindrome (909909).

The spelling of 349013560896 in words is "three hundred forty-nine billion, thirteen million, five hundred sixty thousand, eight hundred ninety-six".