3264348415680 has 672 divisors, whose sum is σ = 13076683633728. Its totient is φ = 744791900160.

The previous prime is 3264348415637. The next prime is 3264348415729. The reversal of 3264348415680 is 865148434623.

3264348415680 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 3 + 484 + 156 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65140714 + ... + 65190806.

Almost surely, 2^{3264348415680} is an apocalyptic number.

3264348415680 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 3264348415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538341816864).

3264348415680 is an abundant number, since it is smaller than the sum of its proper divisors (9812335218048).

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

3264348415680 is a wasteful number, since it uses less digits than its factorization.

3264348415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50166 (or 50131 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3264348415680 in words is "three trillion, two hundred sixty-four billion, three hundred forty-eight million, four hundred fifteen thousand, six hundred eighty".