349877222496 has 384 divisors, whose sum is σ = 1163886796800. Its totient is φ = 101603082240.

The previous prime is 349877222459. The next prime is 349877222503. The reversal of 349877222496 is 694222778943.

349877222496 is a `hidden beast` number, since 3 + 49 + 87 + 7 + 2 + 22 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10455840 + ... + 10489248.

It is an arithmetic number, because the mean of its divisors is an integer number (3030955200).

Almost surely, 2^349877222496 is an apocalyptic number.

349877222496 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 349877222496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581943398400).

349877222496 is an abundant number, since it is smaller than the sum of its proper divisors (814009574304).

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

349877222496 is a wasteful number, since it uses less digits than its factorization.

349877222496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33499 (or 33485 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 349877222496 in words is "three hundred forty-nine billion, eight hundred seventy-seven million, two hundred twenty-two thousand, four hundred ninety-six".