31446672000 has 768 divisors, whose sum is σ = 116418556800. Its totient is φ = 7483392000.

The previous prime is 31446671989. The next prime is 31446672013. The reversal of 31446672000 is 27664413.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 766991980 + ... + 766992020.

Almost surely, 2^31446672000 is an apocalyptic number.

31446672000 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 31446672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58209278400).

31446672000 is an abundant number, since it is smaller than the sum of its proper divisors (84971884800).

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

31446672000 is a wasteful number, since it uses less digits than its factorization.

31446672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 31446672000 in words is "thirty-one billion, four hundred forty-six million, six hundred seventy-two thousand".