349743240 has 576 divisors, whose sum is σ = 1513774080. Its totient is φ = 68428800.

The previous prime is 349743239. The next prime is 349743263. The reversal of 349743240 is 42347943.

349743240 is a `hidden beast` number, since 349 + 74 + 3 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 349743195 and 349743204.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 9452502 + ... + 9452538.

It is an arithmetic number, because the mean of its divisors is an integer number (2628080).

Almost surely, 2^349743240 is an apocalyptic number.

349743240 is a gapful number since it is divisible by the number (30) 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 349743240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756887040).

349743240 is an abundant number, since it is smaller than the sum of its proper divisors (1164030840).

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

349743240 is a wasteful number, since it uses less digits than its factorization.

349743240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 349743240 is about 18701.4234752331. The cubic root of 349743240 is about 704.5575011039.

The spelling of 349743240 in words is "three hundred forty-nine million, seven hundred forty-three thousand, two hundred forty".