349799703552 has 352 divisors, whose sum is σ = 1122063868800. Its totient is φ = 107009703936.

The previous prime is 349799703551. The next prime is 349799703559. The reversal of 349799703552 is 255307997943.

349799703552 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 9 + 9 + 70 + 3 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 349799703552.

It is not an unprimeable number, because it can be changed into a prime (349799703551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64334178 + ... + 64339614.

Almost surely, 2^349799703552 is an apocalyptic number.

349799703552 is a gapful number since it is divisible by the number (32) 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 349799703552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561031934400).

349799703552 is an abundant number, since it is smaller than the sum of its proper divisors (772264165248).

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

349799703552 is a wasteful number, since it uses less digits than its factorization.

349799703552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 349799703552 in words is "three hundred forty-nine billion, seven hundred ninety-nine million, seven hundred three thousand, five hundred fifty-two".