3378138433824 has 768 divisors, whose sum is σ = 11598353141760. Its totient is φ = 835597762560.

The previous prime is 3378138433811. The next prime is 3378138433853. The reversal of 3378138433824 is 4283348318733.

It is a super-2 number, since 2×3378138433824² (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 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 127 ways as a sum of consecutive naturals, for example, 2604577944 + ... + 2604579240.

It is an arithmetic number, because the mean of its divisors is an integer number (15102022320).

Almost surely, 2^{3378138433824} 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 3378138433824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799176570880).

3378138433824 is an abundant number, since it is smaller than the sum of its proper divisors (8220214707936).

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

3378138433824 is a wasteful number, since it uses less digits than its factorization.

3378138433824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1553 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 57.

The spelling of 3378138433824 in words is "three trillion, three hundred seventy-eight billion, one hundred thirty-eight million, four hundred thirty-three thousand, eight hundred twenty-four".