3212528480 has 144 divisors (see below), whose sum is σ = 8813175840. Its totient is φ = 1084016640.

The previous prime is 3212528477. The next prime is 3212528497. The reversal of 3212528480 is 848252123.

It is a super-2 number, since 2×3212528480² = 20640678469622220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3212528480.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5645636 + ... + 5646204.

It is an arithmetic number, because the mean of its divisors is an integer number (61202610).

Almost surely, 2^3212528480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212528480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406587920).

3212528480 is an abundant number, since it is smaller than the sum of its proper divisors (5600647360).

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

3212528480 is an equidigital number, since it uses as much as digits as its factorization.

3212528480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 3212528480 is about 56679.1714830060. The cubic root of 3212528480 is about 1475.5332332325.

The spelling of 3212528480 in words is "three billion, two hundred twelve million, five hundred twenty-eight thousand, four hundred eighty".