349440168 has 256 divisors, whose sum is σ = 1181952000. Its totient is φ = 85048320.

The previous prime is 349440149. The next prime is 349440187. The reversal of 349440168 is 861044943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (349440149) and next prime (349440187).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1539271 + ... + 1539497.

It is an arithmetic number, because the mean of its divisors is an integer number (4617000).

Almost surely, 2^349440168 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 349440168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590976000).

349440168 is an abundant number, since it is smaller than the sum of its proper divisors (832511832).

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

349440168 is a wasteful number, since it uses less digits than its factorization.

349440168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 349440168 is about 18693.3188064613. The cubic root of 349440168 is about 704.3539295164.

The spelling of 349440168 in words is "three hundred forty-nine million, four hundred forty thousand, one hundred sixty-eight".