31444000 has 96 divisors (see below), whose sum is σ = 88373376. Its totient is φ = 10771200.

The previous prime is 31443977. The next prime is 31444001. The reversal of 31444000 is 44413.

31444000 = T₁₇₂₀ + T₁₇₂₁ + ... + T₁₇₄₀.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (31444001) 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 15 ways as a sum of consecutive naturals, for example, 27439 + ... + 28561.

It is an arithmetic number, because the mean of its divisors is an integer number (920556).

Almost surely, 2^31444000 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 31444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44186688).

31444000 is an abundant number, since it is smaller than the sum of its proper divisors (56929376).

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

31444000 is a wasteful number, since it uses less digits than its factorization.

31444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 31444000 is about 5607.4949843937. The cubic root of 31444000 is about 315.6307174731.

Adding to 31444000 its reverse (44413), we get a palindrome (31488413).

The spelling of 31444000 in words is "thirty-one million, four hundred forty-four thousand".