3282140736 has 504 divisors, whose sum is σ = 11699382240. Its totient is φ = 909232128.

The previous prime is 3282140713. The next prime is 3282140737. The reversal of 3282140736 is 6370412823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 3282140736.

It is not an unprimeable number, because it can be changed into a prime (3282140737) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44960796 + ... + 44960868.

It is an arithmetic number, because the mean of its divisors is an integer number (23213060).

Almost surely, 2^3282140736 is an apocalyptic number.

3282140736 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 3282140736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849691120).

3282140736 is an abundant number, since it is smaller than the sum of its proper divisors (8417241504).

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

3282140736 is an equidigital number, since it uses as much as digits as its factorization.

3282140736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3282140736 is about 57289.9706405929. The cubic root of 3282140736 is about 1486.1149386353.

The spelling of 3282140736 in words is "three billion, two hundred eighty-two million, one hundred forty thousand, seven hundred thirty-six".