349002044160 has 2304 divisors, whose sum is σ = 1589131837440. Its totient is φ = 63063982080.

The previous prime is 349002044099. The next prime is 349002044177. The reversal of 349002044160 is 61440200943.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4780849884 + ... + 4780849956.

It is an arithmetic number, because the mean of its divisors is an integer number (689727360).

Almost surely, 2^349002044160 is an apocalyptic number.

349002044160 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 349002044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794565918720).

349002044160 is an abundant number, since it is smaller than the sum of its proper divisors (1240129793280).

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

349002044160 is a wasteful number, since it uses less digits than its factorization.

349002044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 349002044160 in words is "three hundred forty-nine billion, two million, forty-four thousand, one hundred sixty".