349003404 has 72 divisors (see below), whose sum is σ = 968739408. Its totient is φ = 109486080.

The previous prime is 349003399. The next prime is 349003441. The reversal of 349003404 is 404300943.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5964 + ... + 27084.

It is an arithmetic number, because the mean of its divisors is an integer number (13454714).

Almost surely, 2^349003404 is an apocalyptic number.

349003404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349003404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484369704).

349003404 is an abundant number, since it is smaller than the sum of its proper divisors (619736004).

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

349003404 is a wasteful number, since it uses less digits than its factorization.

349003404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21157 (or 21143 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 349003404 is about 18681.6327980185. The cubic root of 349003404 is about 704.0603506932.

The spelling of 349003404 in words is "three hundred forty-nine million, three thousand, four hundred four".