3381444734976 has 1638 divisors, whose sum is σ = 13031212090176. Its totient is φ = 873698918400.

The previous prime is 3381444734971. The next prime is 3381444735017. The reversal of 3381444734976 is 6794374441833.

3381444734976 is a `hidden beast` number, since 3 + 3 + 81 + 4 + 447 + 3 + 49 + 76 = 666.

It is a super-2 number, since 2×3381444734976² (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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381444734971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 17703899041 + ... + 17703899231.

Almost surely, 2^{3381444734976} is an apocalyptic number.

3381444734976 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 3381444734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515606045088).

3381444734976 is an abundant number, since it is smaller than the sum of its proper divisors (9649767355200).

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

3381444734976 is an equidigital number, since it uses as much as digits as its factorization.

3381444734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 214 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 3381444734976 in words is "three trillion, three hundred eighty-one billion, four hundred forty-four million, seven hundred thirty-four thousand, nine hundred seventy-six".