3222408480 has 192 divisors, whose sum is σ = 10951936128. Its totient is φ = 793395200.

The previous prime is 3222408479. The next prime is 3222408521. The reversal of 3222408480 is 848042223.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428755 + ... + 436205.

It is an arithmetic number, because the mean of its divisors is an integer number (57041334).

Almost surely, 2^3222408480 is an apocalyptic number.

3222408480 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 3222408480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475968064).

3222408480 is an abundant number, since it is smaller than the sum of its proper divisors (7729527648).

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

3222408480 is a wasteful number, since it uses less digits than its factorization.

3222408480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7531 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 3222408480 is about 56766.2618110441. The cubic root of 3222408480 is about 1477.0443325593.

The spelling of 3222408480 in words is "three billion, two hundred twenty-two million, four hundred eight thousand, four hundred eighty".