349162261812 has 432 divisors, whose sum is σ = 1166020652160. Its totient is φ = 85551178752.

The previous prime is 349162261781. The next prime is 349162261849. The reversal of 349162261812 is 218162261943.

349162261812 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 6 + 22 + 618 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 174842398 + ... + 174844394.

It is an arithmetic number, because the mean of its divisors is an integer number (2699121880).

Almost surely, 2^349162261812 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 349162261812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583010326080).

349162261812 is an abundant number, since it is smaller than the sum of its proper divisors (816858390348).

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

349162261812 is a wasteful number, since it uses less digits than its factorization.

349162261812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2094 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 349162261812 in words is "three hundred forty-nine billion, one hundred sixty-two million, two hundred sixty-one thousand, eight hundred twelve".