3275464091328 has 1848 divisors, whose sum is σ = 12567126961200. Its totient is φ = 838061199360.

The previous prime is 3275464091303. The next prime is 3275464091353. The reversal of 3275464091328 is 8231904645723.

3275464091328 is a `hidden beast` number, since 3 + 2 + 7 + 546 + 4 + 0 + 91 + 3 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3275464091303) and next prime (3275464091353).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 112947037618 + ... + 112947037646.

It is a 1-persistent number, because it is pandigital, but 2⋅3275464091328 = 6550928182656 is not.

Almost surely, 2^{3275464091328} is an apocalyptic number.

3275464091328 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 3275464091328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283563480600).

3275464091328 is an abundant number, since it is smaller than the sum of its proper divisors (9291662869872).

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

3275464091328 is a wasteful number, since it uses less digits than its factorization.

3275464091328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3275464091328 in words is "three trillion, two hundred seventy-five billion, four hundred sixty-four million, ninety-one thousand, three hundred twenty-eight".