349583040 has 140 divisors (see below), whose sum is σ = 1243620576. Its totient is φ = 93215232.

The previous prime is 349583021. The next prime is 349583089. The reversal of 349583040 is 40385943.

349583040 is a `hidden beast` number, since 34 + 9 + 583 + 0 + 40 = 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 = 349582986 and 349583004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19177 + ... + 32663.

Almost surely, 2^349583040 is an apocalyptic number.

349583040 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 349583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621810288).

349583040 is an abundant number, since it is smaller than the sum of its proper divisors (894037536).

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

349583040 is a wasteful number, since it uses less digits than its factorization.

349583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516 (or 13497 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 349583040 is about 18697.1398882289. The cubic root of 349583040 is about 704.4499104140.

The spelling of 349583040 in words is "three hundred forty-nine million, five hundred eighty-three thousand, forty".