349874463744 has 616 divisors, whose sum is σ = 1166726330112. Its totient is φ = 104091402240.

The previous prime is 349874463709. The next prime is 349874463773. The reversal of 349874463744 is 447364478943.

349874463744 is a `hidden beast` number, since 3 + 49 + 87 + 446 + 3 + 74 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 300837307 + ... + 300838469.

Almost surely, 2^349874463744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349874463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583363165056).

349874463744 is an abundant number, since it is smaller than the sum of its proper divisors (816851866368).

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

349874463744 is a wasteful number, since it uses less digits than its factorization.

349874463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1212 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 63.

The spelling of 349874463744 in words is "three hundred forty-nine billion, eight hundred seventy-four million, four hundred sixty-three thousand, seven hundred forty-four".