349011362304 has 480 divisors, whose sum is σ = 1144593616320. Its totient is φ = 104920104960.

The previous prime is 349011362267. The next prime is 349011362339. The reversal of 349011362304 is 403263110943.

349011362304 is a `hidden beast` number, since 3 + 490 + 1 + 136 + 2 + 30 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229159687 + ... + 229161209.

It is an arithmetic number, because the mean of its divisors is an integer number (2384570034).

Almost surely, 2^349011362304 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 349011362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572296808160).

349011362304 is an abundant number, since it is smaller than the sum of its proper divisors (795582254016).

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

349011362304 is a wasteful number, since it uses less digits than its factorization.

349011362304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 349011362304 in words is "three hundred forty-nine billion, eleven million, three hundred sixty-two thousand, three hundred four".