3132000 has 192 divisors, whose sum is σ = 11793600. Its totient is φ = 806400.

The previous prime is 3131983. The next prime is 3132007. The reversal of 3132000 is 2313.

It is a happy number.

3132000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107986 + ... + 108014.

It is an arithmetic number, because the mean of its divisors is an integer number (61425).

Almost surely, 2^3132000 is an apocalyptic number.

3132000 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 3132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3132000 is an abundant number, since it is smaller than the sum of its proper divisors (8661600).

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

3132000 is a wasteful number, since it uses less digits than its factorization.

3132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3132000 is about 1769.7457444503. The cubic root of 3132000 is about 146.3099688322.

Adding to 3132000 its reverse (2313), we get a palindrome (3134313).

The spelling of 3132000 in words is "three million, one hundred thirty-two thousand".