3224225223540 has 384 divisors, whose sum is σ = 10381379904000. Its totient is φ = 830370078720.

The previous prime is 3224225223529. The next prime is 3224225223551. The reversal of 3224225223540 is 453225224223.

3224225223540 is a `hidden beast` number, since 3 + 2 + 2 + 42 + 2 + 52 + 23 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (3224225223529) and next prime (3224225223551).

It is a super-2 number, since 2×3224225223540² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3224225223495 and 3224225223504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 481871595 + ... + 481878285.

It is an arithmetic number, because the mean of its divisors is an integer number (27034843500).

Almost surely, 2^{3224225223540} is an apocalyptic number.

3224225223540 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 3224225223540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5190689952000).

3224225223540 is an abundant number, since it is smaller than the sum of its proper divisors (7157154680460).

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

3224225223540 is a wasteful number, since it uses less digits than its factorization.

3224225223540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 3224225223540 in words is "three trillion, two hundred twenty-four billion, two hundred twenty-five million, two hundred twenty-three thousand, five hundred forty".