3243582720 has 864 divisors, whose sum is σ = 14157561600. Its totient is φ = 668860416.

The previous prime is 3243582703. The next prime is 3243582733. The reversal of 3243582720 is 272853423.

3243582720 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 582 + 72 + 0 = 666.

It is a super-2 number, since 2×3243582720² = 21041657722965196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44432604 + ... + 44432676.

Almost surely, 2^3243582720 is an apocalyptic number.

3243582720 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 3243582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7078780800).

3243582720 is an abundant number, since it is smaller than the sum of its proper divisors (10913978880).

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

3243582720 is a wasteful number, since it uses less digits than its factorization.

3243582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3243582720 is about 56952.4601751320. The cubic root of 3243582720 is about 1480.2724601866.

The spelling of 3243582720 in words is "three billion, two hundred forty-three million, five hundred eighty-two thousand, seven hundred twenty".