3273874845696 has 624 divisors, whose sum is σ = 11670591319296. Its totient is φ = 861099393024.

The previous prime is 3273874845679. The next prime is 3273874845701. The reversal of 3273874845696 is 6965484783723.

3273874845696 is a `hidden beast` number, since 3 + 2 + 7 + 3 + 8 + 7 + 484 + 56 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1486097331 + ... + 1486099533.

It is an arithmetic number, because the mean of its divisors is an integer number (18702870704).

Almost surely, 2^{3273874845696} is an apocalyptic number.

3273874845696 is a gapful number since it is divisible by the number (36) 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 3273874845696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5835295659648).

3273874845696 is an abundant number, since it is smaller than the sum of its proper divisors (8396716473600).

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

3273874845696 is a wasteful number, since it uses less digits than its factorization.

3273874845696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2671 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 3273874845696 in words is "three trillion, two hundred seventy-three billion, eight hundred seventy-four million, eight hundred forty-five thousand, six hundred ninety-six".