349589088 has 96 divisors (see below), whose sum is σ = 1079658720. Its totient is φ = 109670400.

The previous prime is 349589087. The next prime is 349589099. The reversal of 349589088 is 880985943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349589087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2788 + ... + 26588.

It is an arithmetic number, because the mean of its divisors is an integer number (11246445).

Almost surely, 2^349589088 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 349589088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539829360).

349589088 is an abundant number, since it is smaller than the sum of its proper divisors (730069632).

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

349589088 is a wasteful number, since it uses less digits than its factorization.

349589088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23837 (or 23823 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 349589088 is about 18697.3016234964. The cubic root of 349589088 is about 704.4539728617.

The spelling of 349589088 in words is "three hundred forty-nine million, five hundred eighty-nine thousand, eighty-eight".