349926221408 has 96 divisors (see below), whose sum is σ = 729777172320. Its totient is φ = 164973219840.

The previous prime is 349926221371. The next prime is 349926221467. The reversal of 349926221408 is 804122629943.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4621358 + ... + 4696466.

It is an arithmetic number, because the mean of its divisors is an integer number (7601845545).

Almost surely, 2^349926221408 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 349926221408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364888586160).

349926221408 is an abundant number, since it is smaller than the sum of its proper divisors (379850950912).

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

349926221408 is a wasteful number, since it uses less digits than its factorization.

349926221408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75280 (or 75272 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 349926221408 in words is "three hundred forty-nine billion, nine hundred twenty-six million, two hundred twenty-one thousand, four hundred eight".