31344000 has 128 divisors (see below), whose sum is σ = 104064480. Its totient is φ = 8345600.

The previous prime is 31343993. The next prime is 31344011. The reversal of 31344000 is 44313.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 47674 + ... + 48326.

Almost surely, 2^31344000 is an apocalyptic number.

31344000 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 31344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52032240).

31344000 is an abundant number, since it is smaller than the sum of its proper divisors (72720480).

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

31344000 is an equidigital number, since it uses as much as digits as its factorization.

31344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 31344000 is about 5598.5712463092. The cubic root of 31344000 is about 315.2957665493.

Adding to 31344000 its reverse (44313), we get a palindrome (31388313).

The spelling of 31344000 in words is "thirty-one million, three hundred forty-four thousand".