3322504480 has 192 divisors, whose sum is σ = 8730620640. Its totient is φ = 1189085184.

The previous prime is 3322504441. The next prime is 3322504517. The reversal of 3322504480 is 844052233.

It can be written as a sum of positive squares in 16 ways, for example, as 1930020624 + 1392483856 = 43932^2 + 37316^2 .

It is a super-2 number, since 2×3322504480² = 22078072039240140800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5757952 + ... + 5758528.

Almost surely, 2^3322504480 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 3322504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4365310320).

3322504480 is an abundant number, since it is smaller than the sum of its proper divisors (5408116160).

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

3322504480 is a wasteful number, since it uses less digits than its factorization.

3322504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 3322504480 is about 57641.1700089441. The cubic root of 3322504480 is about 1492.1822115007.

The spelling of 3322504480 in words is "three billion, three hundred twenty-two million, five hundred four thousand, four hundred eighty".