349079516480 has 28 divisors (see below), whose sum is σ = 831245599380. Its totient is φ = 139631806464.

The previous prime is 349079516473. The next prime is 349079516483. The reversal of 349079516480 is 84615970943.

It can be written as a sum of positive squares in 2 ways, for example, as 121176394816 + 227903121664 = 348104^2 + 477392^2 .

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349079516483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 545436425 + ... + 545437064.

It is an arithmetic number, because the mean of its divisors is an integer number (29687342835).

Almost surely, 2^349079516480 is an apocalyptic number.

It is an amenable number.

349079516480 is an abundant number, since it is smaller than the sum of its proper divisors (482166082900).

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

349079516480 is a wasteful number, since it uses less digits than its factorization.

349079516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090873506 (or 1090873496 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 349079516480 in words is "three hundred forty-nine billion, seventy-nine million, five hundred sixteen thousand, four hundred eighty".