31344442000 has 40 divisors (see below), whose sum is σ = 75790865592. Its totient is φ = 12537776000.

The previous prime is 31344441991. The next prime is 31344442007. The reversal of 31344442000 is 24444313.

It can be written as a sum of positive squares in 4 ways, for example, as 3745929616 + 27598512384 = 61204^2 + 166128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (31344442007) 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, 7834111 + ... + 7838110.

Almost surely, 2^31344442000 is an apocalyptic number.

It is an amenable number.

31344442000 is an abundant number, since it is smaller than the sum of its proper divisors (44446423592).

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

31344442000 is a wasteful number, since it uses less digits than its factorization.

31344442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15672244 (or 15672228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 31344442000 its reverse (24444313), we get a palindrome (31368886313).

It can be divided in two parts, 31344 and 442000, that added together give a square (473344 = 688²).

The spelling of 31344442000 in words is "thirty-one billion, three hundred forty-four million, four hundred forty-two thousand".