3197988864 has 468 divisors, whose sum is σ = 11607498864. Its totient is φ = 859963392.

The previous prime is 3197988863. The next prime is 3197988877. The reversal of 3197988864 is 4688897913.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (20901888) is a multiple of the sum of its prime factors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3197988863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188116984 + ... + 188117000.

It is an arithmetic number, because the mean of its divisors is an integer number (24802348).

Almost surely, 2^3197988864 is an apocalyptic number.

3197988864 is a gapful number since it is divisible by the number (34) 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 3197988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803749432).

3197988864 is an abundant number, since it is smaller than the sum of its proper divisors (8409510000).

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

3197988864 is an frugal number, since it uses more digits than its factorization.

3197988864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The square root of 3197988864 is about 56550.7636022715. The cubic root of 3197988864 is about 1473.3038227450.

3197988864 divided by its product of digits (20901888) gives a triangular number (153 = T₁₇).

The spelling of 3197988864 in words is "three billion, one hundred ninety-seven million, nine hundred eighty-eight thousand, eight hundred sixty-four".