31294609000 has 64 divisors (see below), whose sum is σ = 73304047440. Its totient is φ = 12505081600.

The previous prime is 31294608973. The next prime is 31294609009. The reversal of 31294609000 is 90649213.

It can be written as a sum of positive squares in 8 ways, for example, as 1936528036 + 29358080964 = 44006^2 + 171342^2 .

It is not an unprimeable number, because it can be changed into a prime (31294609009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997554 + ... + 1028446.

Almost surely, 2^31294609000 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 31294609000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36652023720).

31294609000 is an abundant number, since it is smaller than the sum of its proper divisors (42009438440).

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

31294609000 is a wasteful number, since it uses less digits than its factorization.

31294609000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31927 (or 31913 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 31294609000 in words is "thirty-one billion, two hundred ninety-four million, six hundred nine thousand".