349577322840 has 48 divisors (see below), whose sum is σ = 1136126300400. Its totient is φ = 93220619328.

The previous prime is 349577322833. The next prime is 349577322841. The reversal of 349577322840 is 48223775943.

It is a happy number.

349577322840 is a `hidden beast` number, since 3 + 4 + 9 + 577 + 3 + 2 + 28 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349577322841) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 485523700 + ... + 485524419.

It is an arithmetic number, because the mean of its divisors is an integer number (23669297925).

Almost surely, 2^349577322840 is an apocalyptic number.

349577322840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349577322840 is an abundant number, since it is smaller than the sum of its proper divisors (786548977560).

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

349577322840 is a wasteful number, since it uses less digits than its factorization.

349577322840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971048136 (or 971048129 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 349577322840 in words is "three hundred forty-nine billion, five hundred seventy-seven million, three hundred twenty-two thousand, eight hundred forty".