349514880 has 512 divisors, whose sum is σ = 1398297600. Its totient is φ = 72990720.

The previous prime is 349514833. The next prime is 349514887. The reversal of 349514880 is 88415943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349514887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5216607 + ... + 5216673.

It is an arithmetic number, because the mean of its divisors is an integer number (2731050).

Almost surely, 2^349514880 is an apocalyptic number.

349514880 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 349514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699148800).

349514880 is an abundant number, since it is smaller than the sum of its proper divisors (1048782720).

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

349514880 is a wasteful number, since it uses less digits than its factorization.

349514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 349514880 is about 18695.3170606973. The cubic root of 349514880 is about 704.4041240329.

The spelling of 349514880 in words is "three hundred forty-nine million, five hundred fourteen thousand, eight hundred eighty".