349691904 has 280 divisors, whose sum is σ = 1141829568. Its totient is φ = 106168320.

The previous prime is 349691869. The next prime is 349691917. The reversal of 349691904 is 409196943.

It is a self number, because there is not a number n which added to its sum of digits gives 349691904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11280369 + ... + 11280399.

Almost surely, 2^349691904 is an apocalyptic number.

349691904 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 349691904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570914784).

349691904 is an abundant number, since it is smaller than the sum of its proper divisors (792137664).

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

349691904 is an equidigital number, since it uses as much as digits as its factorization.

349691904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 349691904 is about 18700.0509090216. The cubic root of 349691904 is about 704.5230273056.

The spelling of 349691904 in words is "three hundred forty-nine million, six hundred ninety-one thousand, nine hundred four".