3283652736 has 512 divisors, whose sum is σ = 12214540800. Its totient is φ = 845365248.

The previous prime is 3283652689. The next prime is 3283652737. The reversal of 3283652736 is 6372563823.

It is a junction number, because it is equal to n+sod(n) for n = 3283652691 and 3283652700.

It is not an unprimeable number, because it can be changed into a prime (3283652737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16668190 + ... + 16668386.

It is an arithmetic number, because the mean of its divisors is an integer number (23856525).

Almost surely, 2^3283652736 is an apocalyptic number.

3283652736 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 3283652736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6107270400).

3283652736 is an abundant number, since it is smaller than the sum of its proper divisors (8930888064).

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

3283652736 is a wasteful number, since it uses less digits than its factorization.

3283652736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3283652736 is about 57303.1651481836. The cubic root of 3283652736 is about 1486.3431089069.

The spelling of 3283652736 in words is "three billion, two hundred eighty-three million, six hundred fifty-two thousand, seven hundred thirty-six".