349126960 has 360 divisors, whose sum is σ = 1117535616. Its totient is φ = 100638720.

The previous prime is 349126927. The next prime is 349127029. The reversal of 349126960 is 69621943.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11262145 + ... + 11262175.

Almost surely, 2^349126960 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 349126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558767808).

349126960 is an abundant number, since it is smaller than the sum of its proper divisors (768408656).

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

349126960 is a wasteful number, since it uses less digits than its factorization.

349126960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 349126960 is about 18684.9393897866. The cubic root of 349126960 is about 704.1434259259.

The spelling of 349126960 in words is "three hundred forty-nine million, one hundred twenty-six thousand, nine hundred sixty".