3428257492800 has 2016 divisors, whose sum is σ = 15027855298560. Its totient is φ = 724392345600.

The previous prime is 3428257492789. The next prime is 3428257492817. The reversal of 3428257492800 is 82947528243.

3428257492800 is a `hidden beast` number, since 3 + 4 + 28 + 2 + 57 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9711777424 + ... + 9711777776.

Almost surely, 2^{3428257492800} is an apocalyptic number.

3428257492800 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 3428257492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7513927649280).

3428257492800 is an abundant number, since it is smaller than the sum of its proper divisors (11599597805760).

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

3428257492800 is a wasteful number, since it uses less digits than its factorization.

3428257492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3428257492800 in words is "three trillion, four hundred twenty-eight billion, two hundred fifty-seven million, four hundred ninety-two thousand, eight hundred".