3200287968 has 120 divisors (see below), whose sum is σ = 9438493680. Its totient is φ = 1063756800.

The previous prime is 3200287907. The next prime is 3200287991. The reversal of 3200287968 is 8697820023.

It is a congruent number.

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, 1037853 + ... + 1040931.

It is an arithmetic number, because the mean of its divisors is an integer number (78654114).

Almost surely, 2^3200287968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200287968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719246840).

3200287968 is an abundant number, since it is smaller than the sum of its proper divisors (6238205712).

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

3200287968 is a wasteful number, since it uses less digits than its factorization.

3200287968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3200287968 is about 56571.0877392330. The cubic root of 3200287968 is about 1473.6568015962.

The spelling of 3200287968 in words is "three billion, two hundred million, two hundred eighty-seven thousand, nine hundred sixty-eight".