349994736 has 320 divisors, whose sum is σ = 1283251200. Its totient is φ = 88833024.

The previous prime is 349994699. The next prime is 349994747. The reversal of 349994736 is 637499943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139895 + ... + 1140201.

It is an arithmetic number, because the mean of its divisors is an integer number (4010160).

Almost surely, 2^349994736 is an apocalyptic number.

349994736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349994736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641625600).

349994736 is an abundant number, since it is smaller than the sum of its proper divisors (933256464).

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

349994736 is a wasteful number, since it uses less digits than its factorization.

349994736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 349994736 is about 18708.1462470230. The cubic root of 349994736 is about 704.7263401430.

The spelling of 349994736 in words is "three hundred forty-nine million, nine hundred ninety-four thousand, seven hundred thirty-six".