349839616 has 81 divisors (see below), whose sum is σ = 817216239. Its totient is φ = 149033472.

The previous prime is 349839599. The next prime is 349839641. The reversal of 349839616 is 616938943.

The square root of 349839616 is 18704.

It is a perfect power (a square), and thus also a powerful number.

349839616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 349839616.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2094765 + ... + 2094931.

Almost surely, 2^349839616 is an apocalyptic number.

349839616 is the 18704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349839616

349839616 is an abundant number, since it is smaller than the sum of its proper divisors (467376623).

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

349839616 is an frugal number, since it uses more digits than its factorization.

349839616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 176 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The cubic root of 349839616 is about 704.6222116208.

Multiplying 349839616 by its sum of digits (49), we get a square (17142141184 = 130928²).

349839616 divided by its sum of digits (49) gives a square (7139584 = 2672²).

The spelling of 349839616 in words is "three hundred forty-nine million, eight hundred thirty-nine thousand, six hundred sixteen".