3201001000000 has 196 divisors, whose sum is σ = 8040584579200. Its totient is φ = 1264161600000.

The previous prime is 3201000999923. The next prime is 3201001000013. The reversal of 3201001000000 is 1001023.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 78979741 + ... + 79020259.

Almost surely, 2^{3201001000000} 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 3201001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020292289600).

3201001000000 is an abundant number, since it is smaller than the sum of its proper divisors (4839583579200).

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

3201001000000 is an frugal number, since it uses more digits than its factorization.

3201001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40640 (or 40605 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 3201001000000 its reverse (1001023), we get a palindrome (3201002001023).

The spelling of 3201001000000 in words is "three trillion, two hundred one billion, one million", and thus it is an aban number.