349983744 has 88 divisors (see below), whose sum is σ = 1017735648. Its totient is φ = 106045440.

The previous prime is 349983731. The next prime is 349983757. The reversal of 349983744 is 447389943.

It is an interprime number because it is at equal distance from previous prime (349983731) and next prime (349983757).

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28614 + ... + 38970.

Almost surely, 2^349983744 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 349983744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508867824).

349983744 is an abundant number, since it is smaller than the sum of its proper divisors (667751904).

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

349983744 is a wasteful number, since it uses less digits than its factorization.

349983744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10391 (or 10373 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The square root of 349983744 is about 18707.8524689500. The cubic root of 349983744 is about 704.7189624768.

The spelling of 349983744 in words is "three hundred forty-nine million, nine hundred eighty-three thousand, seven hundred forty-four".