3201420002000 has 320 divisors, whose sum is σ = 8826332935680. Its totient is φ = 1111717376000.

The previous prime is 3201420001937. The next prime is 3201420002041. The reversal of 3201420002000 is 2000241023.

It is a congruent number.

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, 330413156 + ... + 330422844.

It is an arithmetic number, because the mean of its divisors is an integer number (27582290424).

Almost surely, 2^{3201420002000} 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 3201420002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413166467840).

3201420002000 is an abundant number, since it is smaller than the sum of its proper divisors (5624912933680).

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

3201420002000 is a wasteful number, since it uses less digits than its factorization.

3201420002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10399 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 3201420002000 its reverse (2000241023), we get a palindrome (3203420243023).

The spelling of 3201420002000 in words is "three trillion, two hundred one billion, four hundred twenty million, two thousand".