3420680244800 has 672 divisors, whose sum is σ = 10744041504000. Its totient is φ = 1042586173440.

The previous prime is 3420680244769. The next prime is 3420680244893. The reversal of 3420680244800 is 84420860243.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2208314426 + ... + 2208315974.

It is an arithmetic number, because the mean of its divisors is an integer number (15988157000).

Almost surely, 2^{3420680244800} 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 3420680244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372020752000).

3420680244800 is an abundant number, since it is smaller than the sum of its proper divisors (7323361259200).

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

3420680244800 is a wasteful number, since it uses less digits than its factorization.

3420680244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The spelling of 3420680244800 in words is "three trillion, four hundred twenty billion, six hundred eighty million, two hundred forty-four thousand, eight hundred".