3284764576128 has 1728 divisors, whose sum is σ = 12516175526400. Its totient is φ = 839687067648.

The previous prime is 3284764576123. The next prime is 3284764576133. The reversal of 3284764576128 is 8216754674823.

3284764576128 is a `hidden beast` number, since 3 + 2 + 8 + 4 + 7 + 6 + 4 + 5 + 7 + 612 + 8 = 666.

3284764576128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3284764576123) and next prime (3284764576133).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284764576123) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 41579298393 + ... + 41579298471.

Almost surely, 2^{3284764576128} is an apocalyptic number.

3284764576128 is a gapful number since it is divisible by the number (38) 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 3284764576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258087763200).

3284764576128 is an abundant number, since it is smaller than the sum of its proper divisors (9231410950272).

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

3284764576128 is an equidigital number, since it uses as much as digits as its factorization.

3284764576128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 133 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 3284764576128 in words is "three trillion, two hundred eighty-four billion, seven hundred sixty-four million, five hundred seventy-six thousand, one hundred twenty-eight".