349973088 has 48 divisors (see below), whose sum is σ = 925323840. Its totient is φ = 115814016.

The previous prime is 349973077. The next prime is 349973111. The reversal of 349973088 is 880379943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 349973088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 26457.

It is an arithmetic number, because the mean of its divisors is an integer number (19277580).

Almost surely, 2^349973088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349973088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462661920).

349973088 is an abundant number, since it is smaller than the sum of its proper divisors (575350752).

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

349973088 is a wasteful number, since it uses less digits than its factorization.

349973088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26379 (or 26371 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 349973088 is about 18707.5676665888. The cubic root of 349973088 is about 704.7118101813.

The spelling of 349973088 in words is "three hundred forty-nine million, nine hundred seventy-three thousand, eighty-eight".