31742200 has 144 divisors (see below), whose sum is σ = 89056800. Its totient is φ = 10483200.

The previous prime is 31742167. The next prime is 31742201. The reversal of 31742200 is 224713.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31742201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 401761 + ... + 401839.

It is an arithmetic number, because the mean of its divisors is an integer number (618450).

Almost surely, 2^31742200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44528400).

31742200 is an abundant number, since it is smaller than the sum of its proper divisors (57314600).

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

31742200 is a wasteful number, since it uses less digits than its factorization.

31742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 31742200 is about 5634.0216542005. The cubic root of 31742200 is about 316.6253439462.

Adding to 31742200 its reverse (224713), we get a palindrome (31966913).

The spelling of 31742200 in words is "thirty-one million, seven hundred forty-two thousand, two hundred".