349911744 has 168 divisors, whose sum is σ = 1160209008. Its totient is φ = 92252160.

The previous prime is 349911659. The next prime is 349911761. The reversal of 349911744 is 447119943.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 349911696 and 349911705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120874 + ... + 123734.

It is an arithmetic number, because the mean of its divisors is an integer number (6906006).

Almost surely, 2^349911744 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 349911744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580104504).

349911744 is an abundant number, since it is smaller than the sum of its proper divisors (810297264).

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

349911744 is a wasteful number, since it uses less digits than its factorization.

349911744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903 (or 2886 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 349911744 is about 18705.9280443393. The cubic root of 349911744 is about 704.6706333320.

The spelling of 349911744 in words is "three hundred forty-nine million, nine hundred eleven thousand, seven hundred forty-four".