3332434616448 has 256 divisors, whose sum is σ = 10245326515200. Its totient is φ = 939998416896.

The previous prime is 3332434616437. The next prime is 3332434616453. The reversal of 3332434616448 is 8446164342333.

It is a super-2 number, since 2×3332434616448² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3332434616448.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384403858 + ... + 384412526.

It is an arithmetic number, because the mean of its divisors is an integer number (40020806700).

Almost surely, 2^{3332434616448} 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 3332434616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122663257600).

3332434616448 is an abundant number, since it is smaller than the sum of its proper divisors (6912891898752).

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

3332434616448 is a wasteful number, since it uses less digits than its factorization.

3332434616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10499 (or 10487 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 51.

The spelling of 3332434616448 in words is "three trillion, three hundred thirty-two billion, four hundred thirty-four million, six hundred sixteen thousand, four hundred forty-eight".