349916088 has 64 divisors (see below), whose sum is σ = 909014400. Its totient is φ = 112112000.

The previous prime is 349916087. The next prime is 349916101. The reversal of 349916088 is 880619943.

349916088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349916087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173695 + ... + 175697.

It is an arithmetic number, because the mean of its divisors is an integer number (14203350).

Almost surely, 2^349916088 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 349916088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454507200).

349916088 is an abundant number, since it is smaller than the sum of its proper divisors (559098312).

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

349916088 is a wasteful number, since it uses less digits than its factorization.

349916088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 349916088 is about 18706.0441569029. The cubic root of 349916088 is about 704.6735493783.

The spelling of 349916088 in words is "three hundred forty-nine million, nine hundred sixteen thousand, eighty-eight".