349359298928640 has 4032 divisors, whose sum is σ = 1721442262325760. Its totient is φ = 63466572349440.

The previous prime is 349359298928609. The next prime is 349359298928663. The reversal of 349359298928640 is 46829892953943.

349359298928640 is a `hidden beast` number, since 3 + 4 + 9 + 3 + 5 + 9 + 298 + 9 + 286 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349359298928640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 91145132164 + ... + 91145135996.

Almost surely, 2^{349359298928640} is an apocalyptic number.

349359298928640 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 349359298928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860721131162880).

349359298928640 is an abundant number, since it is smaller than the sum of its proper divisors (1372082963397120).

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

349359298928640 is a wasteful number, since it uses less digits than its factorization.

349359298928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 7255941120, while the sum is 81.

The spelling of 349359298928640 in words is "three hundred forty-nine trillion, three hundred fifty-nine billion, two hundred ninety-eight million, nine hundred twenty-eight thousand, six hundred forty".