3224122836480 has 2880 divisors, whose sum is σ = 14915375354880. Its totient is φ = 628537688064.

The previous prime is 3224122836479. The next prime is 3224122836499. The reversal of 3224122836480 is 846382214223.

3224122836480 is a `hidden beast` number, since 3 + 22 + 41 + 228 + 364 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 23195128251 + ... + 23195128389.

It is an arithmetic number, because the mean of its divisors is an integer number (5178949776).

Almost surely, 2^{3224122836480} is an apocalyptic number.

3224122836480 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 3224122836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7457687677440).

3224122836480 is an abundant number, since it is smaller than the sum of its proper divisors (11691252518400).

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

3224122836480 is a wasteful number, since it uses less digits than its factorization.

3224122836480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3224122836480 in words is "three trillion, two hundred twenty-four billion, one hundred twenty-two million, eight hundred thirty-six thousand, four hundred eighty".