3522180480 has 512 divisors, whose sum is σ = 14558745600. Its totient is φ = 703365120.

The previous prime is 3522180469. The next prime is 3522180491. The reversal of 3522180480 is 840812253.

It is an interprime number because it is at equal distance from previous prime (3522180469) and next prime (3522180491).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3319150 + ... + 3320210.

It is an arithmetic number, because the mean of its divisors is an integer number (28435050).

Almost surely, 2^3522180480 is an apocalyptic number.

3522180480 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 3522180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7279372800).

3522180480 is an abundant number, since it is smaller than the sum of its proper divisors (11036565120).

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

3522180480 is a wasteful number, since it uses less digits than its factorization.

3522180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 3522180480 is about 59347.9610433248. The cubic root of 3522180480 is about 1521.4950202949.

The spelling of 3522180480 in words is "three billion, five hundred twenty-two million, one hundred eighty thousand, four hundred eighty".