349560259776 has 672 divisors, whose sum is σ = 1278173191680. Its totient is φ = 91726442496.

The previous prime is 349560259759. The next prime is 349560259801. The reversal of 349560259776 is 677952065943.

349560259776 is a `hidden beast` number, since 3 + 49 + 560 + 25 + 9 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 627576490 + ... + 627577046.

It is an arithmetic number, because the mean of its divisors is an integer number (1902043440).

Almost surely, 2^349560259776 is an apocalyptic number.

349560259776 is a gapful number since it is divisible by the number (36) 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 349560259776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639086595840).

349560259776 is an abundant number, since it is smaller than the sum of its proper divisors (928612931904).

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

349560259776 is a wasteful number, since it uses less digits than its factorization.

349560259776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 349560259776 in words is "three hundred forty-nine billion, five hundred sixty million, two hundred fifty-nine thousand, seven hundred seventy-six".