3201282000 has 480 divisors, whose sum is σ = 13265650944. Its totient is φ = 730944000.

The previous prime is 3201281999. The next prime is 3201282011. The reversal of 3201282000 is 2821023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3401530 + ... + 3402470.

Almost surely, 2^3201282000 is an apocalyptic number.

3201282000 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 3201282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632825472).

3201282000 is an abundant number, since it is smaller than the sum of its proper divisors (10064368944).

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

3201282000 is an equidigital number, since it uses as much as digits as its factorization.

3201282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3201282000 is about 56579.8727464105. The cubic root of 3201282000 is about 1473.8093618651.

The spelling of 3201282000 in words is "three billion, two hundred one million, two hundred eighty-two thousand".