349737856 has 64 divisors (see below), whose sum is σ = 761780880. Its totient is φ = 158957568.

The previous prime is 349737833. The next prime is 349737859. The reversal of 349737856 is 658737943.

It is a happy number.

349737856 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 (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349737859) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 109920 + ... + 113056.

Almost surely, 2^349737856 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 349737856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380890440).

349737856 is an abundant number, since it is smaller than the sum of its proper divisors (412043024).

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

349737856 is a wasteful number, since it uses less digits than its factorization.

349737856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231 (or 3219 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The square root of 349737856 is about 18701.2795284173. The cubic root of 349737856 is about 704.5538857307.

The spelling of 349737856 in words is "three hundred forty-nine million, seven hundred thirty-seven thousand, eight hundred fifty-six".