349132980 has 192 divisors, whose sum is σ = 1195407360. Its totient is φ = 74359296.

The previous prime is 349132937. The next prime is 349132981. The reversal of 349132980 is 89231943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349132981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534334 + ... + 534986.

It is an arithmetic number, because the mean of its divisors is an integer number (6226080).

Almost surely, 2^349132980 is an apocalyptic number.

349132980 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 349132980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597703680).

349132980 is an abundant number, since it is smaller than the sum of its proper divisors (846274380).

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

349132980 is a wasteful number, since it uses less digits than its factorization.

349132980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 349132980 is about 18685.1004813996. The cubic root of 349132980 is about 704.1474730869.

The spelling of 349132980 in words is "three hundred forty-nine million, one hundred thirty-two thousand, nine hundred eighty".