349542816 has 96 divisors (see below), whose sum is σ = 1052352000. Its totient is φ = 99515136.

The previous prime is 349542731. The next prime is 349542821. The reversal of 349542816 is 618245943.

349542816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 232435 + ... + 233933.

It is an arithmetic number, because the mean of its divisors is an integer number (10962000).

Almost surely, 2^349542816 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 349542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176000).

349542816 is an abundant number, since it is smaller than the sum of its proper divisors (702809184).

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

349542816 is a wasteful number, since it uses less digits than its factorization.

349542816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1858 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 349542816 is about 18696.0641847422. The cubic root of 349542816 is about 704.4228907202.

The spelling of 349542816 in words is "three hundred forty-nine million, five hundred forty-two thousand, eight hundred sixteen".