349180920 has 96 divisors (see below), whose sum is σ = 1238019120. Its totient is φ = 84648960.

The previous prime is 349180919. The next prime is 349180921. The reversal of 349180920 is 29081943.

349180920 is a `hidden beast` number, since 3 + 491 + 80 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349180919) and next prime (349180921).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349180921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40129 + ... + 48048.

Almost surely, 2^349180920 is an apocalyptic number.

349180920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349180920 is an abundant number, since it is smaller than the sum of its proper divisors (888838200).

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

349180920 is a wasteful number, since it uses less digits than its factorization.

349180920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88205 (or 88198 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 349180920 is about 18686.3832776704. The cubic root of 349180920 is about 704.1797008118.

The spelling of 349180920 in words is "three hundred forty-nine million, one hundred eighty thousand, nine hundred twenty".