349004600 has 96 divisors (see below), whose sum is σ = 938109600. Its totient is φ = 118272000.

The previous prime is 349004581. The next prime is 349004627. The reversal of 349004600 is 6400943.

It is a self number, because there is not a number n which added to its sum of digits gives 349004600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123200 + ... + 126000.

It is an arithmetic number, because the mean of its divisors is an integer number (9771975).

Almost surely, 2^349004600 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 349004600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469054800).

349004600 is an abundant number, since it is smaller than the sum of its proper divisors (589105000).

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

349004600 is a wasteful number, since it uses less digits than its factorization.

349004600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 349004600 is about 18681.6648080411. The cubic root of 349004600 is about 704.0611549405.

The spelling of 349004600 in words is "three hundred forty-nine million, four thousand, six hundred".