3282768720 has 540 divisors, whose sum is σ = 14114760660. Its totient is φ = 681246720.

The previous prime is 3282768707. The next prime is 3282768739. The reversal of 3282768720 is 278672823.

It can be written as a sum of positive squares in 2 ways, for example, as 1232852544 + 2049916176 = 35112^2 + 45276^2 .

It is a super-3 number, since 3×3282768720³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4268496 + ... + 4269264.

Almost surely, 2^3282768720 is an apocalyptic number.

3282768720 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 3282768720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057380330).

3282768720 is an abundant number, since it is smaller than the sum of its proper divisors (10831991940).

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

3282768720 is a wasteful number, since it uses less digits than its factorization.

3282768720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3282768720 is about 57295.4511283400. The cubic root of 3282768720 is about 1486.2097138612.

The spelling of 3282768720 in words is "three billion, two hundred eighty-two million, seven hundred sixty-eight thousand, seven hundred twenty".