31344672 has 48 divisors (see below), whose sum is σ = 83341440. Its totient is φ = 10313472.

The previous prime is 31344671. The next prime is 31344697. The reversal of 31344672 is 27644313.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (31344671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5518 + ... + 9650.

It is an arithmetic number, because the mean of its divisors is an integer number (1736280).

Almost surely, 2^31344672 is an apocalyptic number.

31344672 is a gapful number since it is divisible by the number (32) 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 31344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41670720).

31344672 is an abundant number, since it is smaller than the sum of its proper divisors (51996768).

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

31344672 is a wasteful number, since it uses less digits than its factorization.

31344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225 (or 4217 counting only the distinct ones).

The product of its digits is 12096, while the sum is 30.

The square root of 31344672 is about 5598.6312612995. The cubic root of 31344672 is about 315.2980197954.

Adding to 31344672 its reverse (27644313), we get a palindrome (58988985).

The spelling of 31344672 in words is "thirty-one million, three hundred forty-four thousand, six hundred seventy-two".