3197872800 has 216 divisors, whose sum is σ = 11311713504. Its totient is φ = 850106880.

The previous prime is 3197872763. The next prime is 3197872801. The reversal of 3197872800 is 82787913.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3197872801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3621159 + ... + 3622041.

It is an arithmetic number, because the mean of its divisors is an integer number (52369044).

Almost surely, 2^3197872800 is an apocalyptic number.

3197872800 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 3197872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655856752).

3197872800 is an abundant number, since it is smaller than the sum of its proper divisors (8113840704).

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

3197872800 is a wasteful number, since it uses less digits than its factorization.

3197872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 3197872800 is about 56549.7373999208. The cubic root of 3197872800 is about 1473.2859990844.

The spelling of 3197872800 in words is "three billion, one hundred ninety-seven million, eight hundred seventy-two thousand, eight hundred".