3197335680 has 896 divisors, whose sum is σ = 14448585600. Its totient is φ = 656916480.

The previous prime is 3197335667. The next prime is 3197335681. The reversal of 3197335680 is 865337913.

3197335680 is a `hidden beast` number, since 3 + 19 + 73 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 (3197335681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 35925076 + ... + 35925164.

Almost surely, 2^3197335680 is an apocalyptic number.

3197335680 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 3197335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224292800).

3197335680 is an abundant number, since it is smaller than the sum of its proper divisors (11251249920).

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

3197335680 is an equidigital number, since it uses as much as digits as its factorization.

3197335680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3197335680 is about 56544.9881068163. The cubic root of 3197335680 is about 1473.2035092822.

The spelling of 3197335680 in words is "three billion, one hundred ninety-seven million, three hundred thirty-five thousand, six hundred eighty".