31268734200 has 288 divisors, whose sum is σ = 116439757200. Its totient is φ = 7455744000.

The previous prime is 31268734187. The next prime is 31268734243. The reversal of 31268734200 is 243786213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1194856 + ... + 1220744.

Almost surely, 2^31268734200 is an apocalyptic number.

31268734200 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 31268734200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58219878600).

31268734200 is an abundant number, since it is smaller than the sum of its proper divisors (85171023000).

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

31268734200 is a wasteful number, since it uses less digits than its factorization.

31268734200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25983 (or 25971 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 31268734200 in words is "thirty-one billion, two hundred sixty-eight million, seven hundred thirty-four thousand, two hundred".