3299861168704 has 315 divisors, whose sum is σ = 7546255721403. Its totient is φ = 1431384846336.

The previous prime is 3299861168693. The next prime is 3299861168717. The reversal of 3299861168704 is 4078611689923.

The square root of 3299861168704 is 1816552.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1535002058304 + 1764859110400 = 1238952^2 + 1328480^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 89185436974 + ... + 89185437010.

Almost surely, 2^{3299861168704} is an apocalyptic number.

3299861168704 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3299861168704 is the 1816552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3299861168704

3299861168704 is an abundant number, since it is smaller than the sum of its proper divisors (4246394552699).

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

3299861168704 is an frugal number, since it uses more digits than its factorization.

3299861168704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 64.

Multiplying 3299861168704 by its sum of digits (64), we get a square (211191114797056 = 14532416²).

3299861168704 divided by its sum of digits (64) gives a square (51560330761 = 227069²).

The spelling of 3299861168704 in words is "three trillion, two hundred ninety-nine billion, eight hundred sixty-one million, one hundred sixty-eight thousand, seven hundred four".