32871379200 has 864 divisors, whose sum is σ = 126573898752. Its totient is φ = 7434240000.

The previous prime is 32871379199. The next prime is 32871379207. The reversal of 32871379200 is 297317823.

It is not an unprimeable number, because it can be changed into a prime (32871379207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325459150 + ... + 325459250.

It is an arithmetic number, because the mean of its divisors is an integer number (146497568).

Almost surely, 2^32871379200 is an apocalyptic number.

32871379200 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 32871379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63286949376).

32871379200 is an abundant number, since it is smaller than the sum of its proper divisors (93702519552).

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

32871379200 is a wasteful number, since it uses less digits than its factorization.

32871379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 32871379200 in words is "thirty-two billion, eight hundred seventy-one million, three hundred seventy-nine thousand, two hundred".