3226992000 has 512 divisors, whose sum is σ = 11609395200. Its totient is φ = 790732800.

The previous prime is 3226991987. The next prime is 3226992007. The reversal of 3226992000 is 2996223.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226992007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40847961 + ... + 40848039.

It is an arithmetic number, because the mean of its divisors is an integer number (22674600).

Almost surely, 2^3226992000 is an apocalyptic number.

3226992000 is a gapful number since it is divisible by the number (30) 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 3226992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804697600).

3226992000 is an abundant number, since it is smaller than the sum of its proper divisors (8382403200).

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

3226992000 is a wasteful number, since it uses less digits than its factorization.

3226992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 3226992000 is about 56806.6193326095. The cubic root of 3226992000 is about 1477.7443115685.

The spelling of 3226992000 in words is "three billion, two hundred twenty-six million, nine hundred ninety-two thousand".