3348883295680 has 448 divisors, whose sum is σ = 9201989784960. Its totient is φ = 1149911433216.

The previous prime is 3348883295671. The next prime is 3348883295707. The reversal of 3348883295680 is 865923888433.

It is a super-2 number, since 2×3348883295680² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4946651502 + ... + 4946652178.

It is an arithmetic number, because the mean of its divisors is an integer number (20540155770).

Almost surely, 2^{3348883295680} 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 3348883295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600994892480).

3348883295680 is an abundant number, since it is smaller than the sum of its proper divisors (5853106489280).

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

3348883295680 is a wasteful number, since it uses less digits than its factorization.

3348883295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 67.

The spelling of 3348883295680 in words is "three trillion, three hundred forty-eight billion, eight hundred eighty-three million, two hundred ninety-five thousand, six hundred eighty".