3200967616 has 112 divisors (see below), whose sum is σ = 7977957120. Its totient is φ = 1237893120.

The previous prime is 3200967613. The next prime is 3200967617. The reversal of 3200967616 is 6167690023.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200967613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 682656 + ... + 687328.

It is an arithmetic number, because the mean of its divisors is an integer number (71231760).

Almost surely, 2^3200967616 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 3200967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988978560).

3200967616 is an abundant number, since it is smaller than the sum of its proper divisors (4776989504).

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

3200967616 is a wasteful number, since it uses less digits than its factorization.

3200967616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4842 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 3200967616 is about 56577.0944464277. The cubic root of 3200967616 is about 1473.7611148137.

The spelling of 3200967616 in words is "three billion, two hundred million, nine hundred sixty-seven thousand, six hundred sixteen".