3348278553344 has 72 divisors (see below), whose sum is σ = 6805978421760. Its totient is φ = 1643651609600.

The previous prime is 3348278553311. The next prime is 3348278553353. The reversal of 3348278553344 is 4433558728433.

It is a super-2 number, since 2×3348278553344² (a number of 26 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3958679 + ... + 4729449.

It is an arithmetic number, because the mean of its divisors is an integer number (94527478080).

Almost surely, 2^{3348278553344} 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 3348278553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402989210880).

3348278553344 is an abundant number, since it is smaller than the sum of its proper divisors (3457699868416).

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

3348278553344 is an equidigital number, since it uses as much as digits as its factorization.

3348278553344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771097 (or 771083 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 59.

The spelling of 3348278553344 in words is "three trillion, three hundred forty-eight billion, two hundred seventy-eight million, five hundred fifty-three thousand, three hundred forty-four".