3202212480 has 384 divisors, whose sum is σ = 11273040000. Its totient is φ = 772079616.

The previous prime is 3202212479. The next prime is 3202212493. The reversal of 3202212480 is 842122023.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3202212480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16091421 + ... + 16091619.

It is an arithmetic number, because the mean of its divisors is an integer number (29356875).

Almost surely, 2^3202212480 is an apocalyptic number.

3202212480 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 3202212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5636520000).

3202212480 is an abundant number, since it is smaller than the sum of its proper divisors (8070827520).

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

3202212480 is a wasteful number, since it uses less digits than its factorization.

3202212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 3202212480 is about 56588.0948610218. The cubic root of 3202212480 is about 1473.9521397992.

The spelling of 3202212480 in words is "three billion, two hundred two million, two hundred twelve thousand, four hundred eighty".