3297436128 has 384 divisors, whose sum is σ = 11426365440. Its totient is φ = 917070336.

The previous prime is 3297436081. The next prime is 3297436141. The reversal of 3297436128 is 8216347923.

3297436128 is a `hidden beast` number, since 3 + 2 + 97 + 436 + 128 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25964001 + ... + 25964127.

It is an arithmetic number, because the mean of its divisors is an integer number (29756160).

Almost surely, 2^3297436128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3297436128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713182720).

3297436128 is an abundant number, since it is smaller than the sum of its proper divisors (8128929312).

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

3297436128 is an equidigital number, since it uses as much as digits as its factorization.

3297436128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3297436128 is about 57423.3064878713. The cubic root of 3297436128 is about 1488.4198867073.

The spelling of 3297436128 in words is "three billion, two hundred ninety-seven million, four hundred thirty-six thousand, one hundred twenty-eight".