349775040 has 56 divisors (see below), whose sum is σ = 1110538800. Its totient is φ = 93273088.

The previous prime is 349775021. The next prime is 349775087. The reversal of 349775040 is 40577943.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349775040.

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 7 ways as a sum of consecutive naturals, for example, 181215 + ... + 183134.

It is an arithmetic number, because the mean of its divisors is an integer number (19831050).

Almost surely, 2^349775040 is an apocalyptic number.

349775040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349775040 is an abundant number, since it is smaller than the sum of its proper divisors (760763760).

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

349775040 is a wasteful number, since it uses less digits than its factorization.

349775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364369 (or 364359 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 349775040 is about 18702.2736585689. The cubic root of 349775040 is about 704.5788541490.

The spelling of 349775040 in words is "three hundred forty-nine million, seven hundred seventy-five thousand, forty".