31998400 has 84 divisors (see below), whose sum is σ = 90015568. Its totient is φ = 10967040.

The previous prime is 31998389. The next prime is 31998401. The reversal of 31998400 is 489913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31998401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9772 + ... + 12628.

Almost surely, 2^31998400 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 31998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45007784).

31998400 is an abundant number, since it is smaller than the sum of its proper divisors (58017168).

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

31998400 is a wasteful number, since it uses less digits than its factorization.

31998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 31998400 is about 5656.7128263683. The cubic root of 31998400 is about 317.4749189686.

The spelling of 31998400 in words is "thirty-one million, nine hundred ninety-eight thousand, four hundred".