3272218560 has 588 divisors, whose sum is σ = 12802816152. Its totient is φ = 795764736.

The previous prime is 3272218511. The next prime is 3272218571. The reversal of 3272218560 is 658122723.

3272218560 is a `hidden beast` number, since 3 + 2 + 72 + 21 + 8 + 560 = 666.

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 83 ways as a sum of consecutive naturals, for example, 39424279 + ... + 39424361.

Almost surely, 2^3272218560 is an apocalyptic number.

3272218560 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 3272218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401408076).

3272218560 is an abundant number, since it is smaller than the sum of its proper divisors (9530597592).

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

3272218560 is an equidigital number, since it uses as much as digits as its factorization.

3272218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3272218560 is about 57203.3089951971. The cubic root of 3272218560 is about 1484.6158786102.

The spelling of 3272218560 in words is "three billion, two hundred seventy-two million, two hundred eighteen thousand, five hundred sixty".