3428612672800 has 1728 divisors, whose sum is σ = 11310926054400. Its totient is φ = 1005767884800.

The previous prime is 3428612672759. The next prime is 3428612672819. The reversal of 3428612672800 is 82762168243.

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 35346522352 + ... + 35346522448.

It is an arithmetic number, because the mean of its divisors is an integer number (6545674800).

Almost surely, 2^{3428612672800} 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 3428612672800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655463027200).

3428612672800 is an abundant number, since it is smaller than the sum of its proper divisors (7882313381600).

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

3428612672800 is a wasteful number, since it uses less digits than its factorization.

3428612672800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 3428612672800 in words is "three trillion, four hundred twenty-eight billion, six hundred twelve million, six hundred seventy-two thousand, eight hundred".