349784710776 has 128 divisors (see below), whose sum is σ = 979598188800. Its totient is φ = 115639056000.

The previous prime is 349784710729. The next prime is 349784710811. The reversal of 349784710776 is 677017487943.

349784710776 is a `hidden beast` number, since 3 + 4 + 97 + 8 + 471 + 0 + 7 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98779566 + ... + 98783106.

It is an arithmetic number, because the mean of its divisors is an integer number (7653110850).

Almost surely, 2^349784710776 is an apocalyptic number.

349784710776 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 349784710776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489799094400).

349784710776 is an abundant number, since it is smaller than the sum of its proper divisors (629813478024).

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

349784710776 is a wasteful number, since it uses less digits than its factorization.

349784710776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 349784710776 in words is "three hundred forty-nine billion, seven hundred eighty-four million, seven hundred ten thousand, seven hundred seventy-six".