349091911152 has 120 divisors (see below), whose sum is σ = 1014061845888. Its totient is φ = 111987878400.

The previous prime is 349091911141. The next prime is 349091911159. The reversal of 349091911152 is 251119190943.

It is a happy number.

349091911152 is a `hidden beast` number, since 3 + 490 + 9 + 1 + 9 + 1 + 1 + 152 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 349091911098 and 349091911107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349091911159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591958 + ... + 1024010.

Almost surely, 2^349091911152 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 349091911152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507030922944).

349091911152 is an abundant number, since it is smaller than the sum of its proper divisors (664969934736).

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

349091911152 is a wasteful number, since it uses less digits than its factorization.

349091911152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432279 (or 432270 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 349091911152 in words is "three hundred forty-nine billion, ninety-one million, nine hundred eleven thousand, one hundred fifty-two".