3338421342816 has 288 divisors, whose sum is σ = 11199014588160. Its totient is φ = 850477031424.

The previous prime is 3338421342803. The next prime is 3338421342859. The reversal of 3338421342816 is 6182431248333.

It is a super-2 number, since 2×3338421342816² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

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, 3237586 + ... + 4142318.

It is an arithmetic number, because the mean of its divisors is an integer number (38885467320).

Almost surely, 2^{3338421342816} 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 3338421342816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599507294080).

3338421342816 is an abundant number, since it is smaller than the sum of its proper divisors (7860593245344).

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

3338421342816 is a wasteful number, since it uses less digits than its factorization.

3338421342816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904806 (or 904781 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 48.

The spelling of 3338421342816 in words is "three trillion, three hundred thirty-eight billion, four hundred twenty-one million, three hundred forty-two thousand, eight hundred sixteen".