3363246922896 has 960 divisors, whose sum is σ = 12564031564800. Its totient is φ = 854512533504.

The previous prime is 3363246922837. The next prime is 3363246922907. The reversal of 3363246922896 is 6982296423633.

3363246922896 is a `hidden beast` number, since 3 + 3 + 63 + 2 + 469 + 2 + 28 + 96 = 666.

It is a super-2 number, since 2×3363246922896² (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 a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 490480300 + ... + 490487156.

It is an arithmetic number, because the mean of its divisors is an integer number (13087532880).

Almost surely, 2^{3363246922896} is an apocalyptic number.

3363246922896 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 3363246922896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282015782400).

3363246922896 is an abundant number, since it is smaller than the sum of its proper divisors (9200784641904).

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

3363246922896 is a wasteful number, since it uses less digits than its factorization.

3363246922896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6962 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 63.

The spelling of 3363246922896 in words is "three trillion, three hundred sixty-three billion, two hundred forty-six million, nine hundred twenty-two thousand, eight hundred ninety-six".