3366233310720 has 1280 divisors, whose sum is σ = 13304748441600. Its totient is φ = 708652302336.

The previous prime is 3366233310707. The next prime is 3366233310749. The reversal of 3366233310720 is 270133326633.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3366233310720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15095216529 + ... + 15095216751.

It is an arithmetic number, because the mean of its divisors is an integer number (10394334720).

Almost surely, 2^{3366233310720} is an apocalyptic number.

3366233310720 is a gapful number since it is divisible by the number (30) 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 3366233310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652374220800).

3366233310720 is an abundant number, since it is smaller than the sum of its proper divisors (9938515130880).

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

3366233310720 is a wasteful number, since it uses less digits than its factorization.

3366233310720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 39.

The spelling of 3366233310720 in words is "three trillion, three hundred sixty-six billion, two hundred thirty-three million, three hundred ten thousand, seven hundred twenty".