349319964 has 96 divisors (see below), whose sum is σ = 969937920. Its totient is φ = 95735808.

The previous prime is 349319953. The next prime is 349319969. The reversal of 349319964 is 469913943.

It is a super-2 number, since 2×349319964² = 244048874497922592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349319969) 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 31 ways as a sum of consecutive naturals, for example, 469777 + ... + 470519.

It is an arithmetic number, because the mean of its divisors is an integer number (10103520).

Almost surely, 2^349319964 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 349319964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484968960).

349319964 is an abundant number, since it is smaller than the sum of its proper divisors (620617956).

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

349319964 is a wasteful number, since it uses less digits than its factorization.

349319964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 349319964 is about 18690.1033705007. The cubic root of 349319964 is about 704.2731566332.

The spelling of 349319964 in words is "three hundred forty-nine million, three hundred nineteen thousand, nine hundred sixty-four".