3301806753696 has 288 divisors, whose sum is σ = 10052457827328. Its totient is φ = 940906229760.

The previous prime is 3301806753607. The next prime is 3301806753697. The reversal of 3301806753696 is 6963576081033.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3301806753697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 434273031 + ... + 434280633.

It is an arithmetic number, because the mean of its divisors is an integer number (34904367456).

Almost surely, 2^{3301806753696} 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 3301806753696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026228913664).

3301806753696 is an abundant number, since it is smaller than the sum of its proper divisors (6750651073632).

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

3301806753696 is a wasteful number, since it uses less digits than its factorization.

3301806753696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084 (or 9059 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 3301806753696 in words is "three trillion, three hundred one billion, eight hundred six million, seven hundred fifty-three thousand, six hundred ninety-six".