3378134800128 has 288 divisors, whose sum is σ = 10080205051392. Its totient is φ = 995316940800.

The previous prime is 3378134800081. The next prime is 3378134800147. The reversal of 3378134800128 is 8210084318733.

It is a super-2 number, since 2×3378134800128² (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 congruent number.

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, 604206613 + ... + 604212203.

It is an arithmetic number, because the mean of its divisors is an integer number (35000711984).

Almost surely, 2^{3378134800128} 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 3378134800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040102525696).

3378134800128 is an abundant number, since it is smaller than the sum of its proper divisors (6702070251264).

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

3378134800128 is a wasteful number, since it uses less digits than its factorization.

3378134800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7591 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 3378134800128 in words is "three trillion, three hundred seventy-eight billion, one hundred thirty-four million, eight hundred thousand, one hundred twenty-eight".