349854960 has 320 divisors, whose sum is σ = 1357913088. Its totient is φ = 72548352.

The previous prime is 349854913. The next prime is 349854983. The reversal of 349854960 is 69458943.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 1812624 + ... + 1812816.

Almost surely, 2^349854960 is an apocalyptic number.

349854960 is a gapful number since it is divisible by the number (30) 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 349854960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678956544).

349854960 is an abundant number, since it is smaller than the sum of its proper divisors (1008058128).

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

349854960 is a wasteful number, since it uses less digits than its factorization.

349854960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 349854960 is about 18704.4101751432. The cubic root of 349854960 is about 704.6325130701.

The spelling of 349854960 in words is "three hundred forty-nine million, eight hundred fifty-four thousand, nine hundred sixty".