31274449920 has 1188 divisors, whose sum is σ = 137788564680. Its totient is φ = 6772211712.

The previous prime is 31274449909. The next prime is 31274449949. The reversal of 31274449920 is 2994447213.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1646023671 + ... + 1646023689.

Almost surely, 2^31274449920 is an apocalyptic number.

31274449920 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 31274449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68894282340).

31274449920 is an abundant number, since it is smaller than the sum of its proper divisors (106514114760).

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

31274449920 is an frugal number, since it uses more digits than its factorization.

31274449920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 31274449920 in words is "thirty-one billion, two hundred seventy-four million, four hundred forty-nine thousand, nine hundred twenty".