3364624774896 has 320 divisors, whose sum is σ = 11207419822080. Its totient is φ = 844503828480.

The previous prime is 3364624774867. The next prime is 3364624774921. The reversal of 3364624774896 is 6984774264633.

It is a super-2 number, since 2×3364624774896² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3364624774896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13600660 + ... + 13845836.

It is an arithmetic number, because the mean of its divisors is an integer number (35023186944).

Almost surely, 2^{3364624774896} 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 3364624774896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603709911040).

3364624774896 is an abundant number, since it is smaller than the sum of its proper divisors (7842795047184).

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

3364624774896 is a wasteful number, since it uses less digits than its factorization.

3364624774896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245332 (or 245326 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 69.

The spelling of 3364624774896 in words is "three trillion, three hundred sixty-four billion, six hundred twenty-four million, seven hundred seventy-four thousand, eight hundred ninety-six".