3201307200000 has 2160 divisors, whose sum is σ = 14508488194200. Its totient is φ = 673505280000.

The previous prime is 3201307199957. The next prime is 3201307200001. The reversal of 3201307200000 is 27031023.

It can be written as a sum of positive squares in 12 ways, for example, as 1714507409664 + 1486799790336 = 1309392^2 + 1219344^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201307200001) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9172799826 + ... + 9172800174.

Almost surely, 2^{3201307200000} is an apocalyptic number.

3201307200000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201307200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254244097100).

3201307200000 is an abundant number, since it is smaller than the sum of its proper divisors (11307180994200).

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

3201307200000 is an equidigital number, since it uses as much as digits as its factorization.

3201307200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 3201307200000 in words is "three trillion, two hundred one billion, three hundred seven million, two hundred thousand".