3201132000 has 192 divisors, whose sum is σ = 11440735488. Its totient is φ = 776000000.

The previous prime is 3201131987. The next prime is 3201132023. The reversal of 3201132000 is 2311023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119875 + ... + 144125.

It is an arithmetic number, because the mean of its divisors is an integer number (59587164).

Almost surely, 2^3201132000 is an apocalyptic number.

3201132000 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 3201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720367744).

3201132000 is an abundant number, since it is smaller than the sum of its proper divisors (8239603488).

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

3201132000 is a wasteful number, since it uses less digits than its factorization.

3201132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24290 (or 24272 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 3201132000 is about 56578.5471711673. The cubic root of 3201132000 is about 1473.7863424563.

Adding to 3201132000 its reverse (2311023), we get a palindrome (3203443023).

The spelling of 3201132000 in words is "three billion, two hundred one million, one hundred thirty-two thousand".