3206788992 has 288 divisors, whose sum is σ = 10639638360. Its totient is φ = 919296000.

The previous prime is 3206788987. The next prime is 3206789021. The reversal of 3206788992 is 2998876023.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3206788992³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4574242 + ... + 4574942.

Almost surely, 2^3206788992 is an apocalyptic number.

3206788992 is a gapful number since it is divisible by the number (32) 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 3206788992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319819180).

3206788992 is an abundant number, since it is smaller than the sum of its proper divisors (7432849368).

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

3206788992 is a wasteful number, since it uses less digits than its factorization.

3206788992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3206788992 is about 56628.5174801531. The cubic root of 3206788992 is about 1474.6539825329.

The spelling of 3206788992 in words is "three billion, two hundred six million, seven hundred eighty-eight thousand, nine hundred ninety-two".