349696880676 has 288 divisors, whose sum is σ = 1058192553600. Its totient is φ = 95973672960.

The previous prime is 349696880633. The next prime is 349696880713. The reversal of 349696880676 is 676088696943.

349696880676 is a `hidden beast` number, since 3 + 496 + 9 + 68 + 8 + 0 + 6 + 76 = 666.

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, 92780520 + ... + 92784288.

It is an arithmetic number, because the mean of its divisors is an integer number (3674279700).

Almost surely, 2^349696880676 is an apocalyptic number.

349696880676 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 349696880676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529096276800).

349696880676 is an abundant number, since it is smaller than the sum of its proper divisors (708495672924).

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

349696880676 is a wasteful number, since it uses less digits than its factorization.

349696880676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4139 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 349696880676 in words is "three hundred forty-nine billion, six hundred ninety-six million, eight hundred eighty thousand, six hundred seventy-six".