3420100244000 has 384 divisors, whose sum is σ = 9700566220800. Its totient is φ = 1171992960000.

The previous prime is 3420100243997. The next prime is 3420100244039. The reversal of 3420100244000 is 4420010243.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 159665291 + ... + 159686709.

It is an arithmetic number, because the mean of its divisors is an integer number (25261891200).

Almost surely, 2^{3420100244000} 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 3420100244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850283110400).

3420100244000 is an abundant number, since it is smaller than the sum of its proper divisors (6280465976800).

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

3420100244000 is a wasteful number, since it uses less digits than its factorization.

3420100244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21665 (or 21647 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 3420100244000 its reverse (4420010243), we get a palindrome (3424520254243).

The spelling of 3420100244000 in words is "three trillion, four hundred twenty billion, one hundred million, two hundred forty-four thousand".