3275817264720 has 1280 divisors, whose sum is σ = 15189027840000. Its totient is φ = 626698321920.

The previous prime is 3275817264697. The next prime is 3275817264743. The reversal of 3275817264720 is 274627185723.

It is a happy number.

3275817264720 is a `hidden beast` number, since 3 + 2 + 75 + 81 + 7 + 26 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3275817264697) and next prime (3275817264743).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 936213531 + ... + 936217029.

It is an arithmetic number, because the mean of its divisors is an integer number (11866428000).

Almost surely, 2^{3275817264720} is an apocalyptic number.

3275817264720 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 3275817264720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594513920000).

3275817264720 is an abundant number, since it is smaller than the sum of its proper divisors (11913210575280).

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

3275817264720 is a wasteful number, since it uses less digits than its factorization.

3275817264720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 3275817264720 in words is "three trillion, two hundred seventy-five billion, eight hundred seventeen million, two hundred sixty-four thousand, seven hundred twenty".