3201140736 has 240 divisors, whose sum is σ = 9989179200. Its totient is φ = 1019437056.

The previous prime is 3201140711. The next prime is 3201140773. The reversal of 3201140736 is 6370411023.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3815005 + ... + 3815843.

It is an arithmetic number, because the mean of its divisors is an integer number (41621580).

Almost surely, 2^3201140736 is an apocalyptic number.

3201140736 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 3201140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994589600).

3201140736 is an abundant number, since it is smaller than the sum of its proper divisors (6788038464).

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

3201140736 is an equidigital number, since it uses as much as digits as its factorization.

3201140736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3201140736 is about 56578.6243735211. The cubic root of 3201140736 is about 1473.7876831263.

Adding to 3201140736 its reverse (6370411023), we get a palindrome (9571551759).

The spelling of 3201140736 in words is "three billion, two hundred one million, one hundred forty thousand, seven hundred thirty-six".