349497120 has 384 divisors, whose sum is σ = 1341204480. Its totient is φ = 74833920.

The previous prime is 349497103. The next prime is 349497143. The reversal of 349497120 is 21794943.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5923651 + ... + 5923709.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2^349497120 is an apocalyptic number.

349497120 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 349497120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670602240).

349497120 is an abundant number, since it is smaller than the sum of its proper divisors (991707360).

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

349497120 is a wasteful number, since it uses less digits than its factorization.

349497120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 349497120 is about 18694.8420694051. The cubic root of 349497120 is about 704.3921928011.

The spelling of 349497120 in words is "three hundred forty-nine million, four hundred ninety-seven thousand, one hundred twenty".