3448428092784 has 320 divisors, whose sum is σ = 10596843187200. Its totient is φ = 1071277498368.

The previous prime is 3448428092713. The next prime is 3448428092803. The reversal of 3448428092784 is 4872908248443.

3448428092784 is a `hidden beast` number, since 3 + 4 + 4 + 84 + 280 + 9 + 278 + 4 = 666.

3448428092784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3448428092784² (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, 66217284 + ... + 66269340.

It is an arithmetic number, because the mean of its divisors is an integer number (33115134960).

Almost surely, 2^{3448428092784} 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 3448428092784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5298421593600).

3448428092784 is an abundant number, since it is smaller than the sum of its proper divisors (7148415094416).

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

3448428092784 is a wasteful number, since it uses less digits than its factorization.

3448428092784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52269 (or 52257 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 3448428092784 in words is "three trillion, four hundred forty-eight billion, four hundred twenty-eight million, ninety-two thousand, seven hundred eighty-four".