3428393306880 has 432 divisors, whose sum is σ = 11815640718336. Its totient is φ = 846263869440.

The previous prime is 3428393306873. The next prime is 3428393306881. The reversal of 3428393306880 is 886033938243.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3428393306880.

It is not an unprimeable number, because it can be changed into a prime (3428393306881) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 62944939 + ... + 62999381.

Almost surely, 2^{3428393306880} is an apocalyptic number.

3428393306880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428393306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5907820359168).

3428393306880 is an abundant number, since it is smaller than the sum of its proper divisors (8387247411456).

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

3428393306880 is a wasteful number, since it uses less digits than its factorization.

3428393306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54544 (or 54507 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 57.

The spelling of 3428393306880 in words is "three trillion, four hundred twenty-eight billion, three hundred ninety-three million, three hundred six thousand, eight hundred eighty".