349911090 has 80 divisors (see below), whose sum is σ = 944032320. Its totient is φ = 92996640.

The previous prime is 349911077. The next prime is 349911101. The reversal of 349911090 is 90119943.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 338875 + ... + 339905.

It is an arithmetic number, because the mean of its divisors is an integer number (11800404).

Almost surely, 2^349911090 is an apocalyptic number.

349911090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349911090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472016160).

349911090 is an abundant number, since it is smaller than the sum of its proper divisors (594121230).

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

349911090 is a wasteful number, since it uses less digits than its factorization.

349911090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 349911090 is about 18705.9105632418. The cubic root of 349911090 is about 704.6701943118.

The spelling of 349911090 in words is "three hundred forty-nine million, nine hundred eleven thousand, ninety".