349792704 has 84 divisors (see below), whose sum is σ = 1005657120. Its totient is φ = 116244480.

The previous prime is 349792673. The next prime is 349792733. The reversal of 349792704 is 407297943.

349792704 is a `hidden beast` number, since 3 + 497 + 92 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 349792704.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 247552 + ... + 248960.

Almost surely, 2^349792704 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 349792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502828560).

349792704 is an abundant number, since it is smaller than the sum of its proper divisors (655864416).

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

349792704 is a wasteful number, since it uses less digits than its factorization.

349792704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 349792704 is about 18702.7458946541. The cubic root of 349792704 is about 704.5907146021.

The spelling of 349792704 in words is "three hundred forty-nine million, seven hundred ninety-two thousand, seven hundred four".