349920029943 has 32 divisors (see below), whose sum is σ = 567004078080. Its totient is φ = 211518961920.

The previous prime is 349920029923. The next prime is 349920029947.

349920029943 is a `hidden beast` number, since 3 + 499 + 20 + 0 + 2 + 99 + 43 = 666.

349920029943 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-349920029943 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349920029943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349920029947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1424346 + ... + 1651847.

It is an arithmetic number, because the mean of its divisors is an integer number (17718877440).

Almost surely, 2^349920029943 is an apocalyptic number.

349920029943 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

349920029943 is a deficient number, since it is larger than the sum of its proper divisors (217084048137).

349920029943 is a wasteful number, since it uses less digits than its factorization.

349920029943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076596 (or 3076590 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 349920029943 in words is "three hundred forty-nine billion, nine hundred twenty million, twenty-nine thousand, nine hundred forty-three".