3201273936 has 240 divisors, whose sum is σ = 10512612864. Its totient is φ = 890562816.

The previous prime is 3201273923. The next prime is 3201273937. The reversal of 3201273936 is 6393721023.

3201273936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3201273936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201273937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7226131 + ... + 7226573.

Almost surely, 2^3201273936 is an apocalyptic number.

3201273936 is a gapful number since it is divisible by the number (36) 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 3201273936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256306432).

3201273936 is an abundant number, since it is smaller than the sum of its proper divisors (7311338928).

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

3201273936 is a wasteful number, since it uses less digits than its factorization.

3201273936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3201273936 is about 56579.8014842753. The cubic root of 3201273936 is about 1473.8081243599.

Adding to 3201273936 its reverse (6393721023), we get a palindrome (9594994959).

The spelling of 3201273936 in words is "three billion, two hundred one million, two hundred seventy-three thousand, nine hundred thirty-six".