349908864 has 128 divisors (see below), whose sum is σ = 987360000. Its totient is φ = 109486080.

The previous prime is 349908851. The next prime is 349908869. The reversal of 349908864 is 468809943.

It is a happy number.

349908864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349908869) 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, 1451784 + ... + 1452024.

It is an arithmetic number, because the mean of its divisors is an integer number (7713750).

Almost surely, 2^349908864 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 349908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493680000).

349908864 is an abundant number, since it is smaller than the sum of its proper divisors (637451136).

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

349908864 is a wasteful number, since it uses less digits than its factorization.

349908864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 349908864 is about 18705.8510632369. The cubic root of 349908864 is about 704.6687000283.

The spelling of 349908864 in words is "three hundred forty-nine million, nine hundred eight thousand, eight hundred sixty-four".