31745974080 has 448 divisors, whose sum is σ = 111237857280. Its totient is φ = 7635763200.

The previous prime is 31745974033. The next prime is 31745974109. The reversal of 31745974080 is 8047954713.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66275281 + ... + 66275759.

Almost surely, 2^31745974080 is an apocalyptic number.

31745974080 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 31745974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55618928640).

31745974080 is an abundant number, since it is smaller than the sum of its proper divisors (79491883200).

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

31745974080 is a wasteful number, since it uses less digits than its factorization.

31745974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 31745974080 in words is "thirty-one billion, seven hundred forty-five million, nine hundred seventy-four thousand, eighty".