3306083973696 has 567 divisors, whose sum is σ = 11246835510729. Its totient is φ = 925830936576.

The previous prime is 3306083973683. The next prime is 3306083973697. The reversal of 3306083973696 is 6963793806033.

The square root of 3306083973696 is 1818264.

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

It can be written as a sum of positive squares in only one way, i.e., 1942009473600 + 1364074500096 = 1393560^2 + 1167936^2 .

It is a super-2 number, since 2×3306083973696² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3306083973697) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 24131999740 + ... + 24131999876.

Almost surely, 2^{3306083973696} is an apocalyptic number.

3306083973696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3306083973696 is the 1818264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3306083973696

3306083973696 is an abundant number, since it is smaller than the sum of its proper divisors (7940751537033).

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

3306083973696 is an equidigital number, since it uses as much as digits as its factorization.

3306083973696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 63.

The spelling of 3306083973696 in words is "three trillion, three hundred six billion, eighty-three million, nine hundred seventy-three thousand, six hundred ninety-six".