3222269124624 has 315 divisors, whose sum is σ = 10295559251887. Its totient is φ = 975798964800.

The previous prime is 3222269124619. The next prime is 3222269124647. The reversal of 3222269124624 is 4264219622223.

It is a happy number.

The square root of 3222269124624 is 1795068.

It is a perfect power (a square), and thus also a powerful number.

3222269124624 is a `hidden beast` number, since 3 + 2 + 2 + 2 + 2 + 6 + 9 + 12 + 4 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3222269124624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2132540029 + ... + 2132541539.

Almost surely, 2^{3222269124624} is an apocalyptic number.

3222269124624 is the 1795068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3222269124624

3222269124624 is an abundant number, since it is smaller than the sum of its proper divisors (7073290127263).

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

3222269124624 is an frugal number, since it uses more digits than its factorization.

3222269124624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 1527 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 3222269124624 in words is "three trillion, two hundred twenty-two billion, two hundred sixty-nine million, one hundred twenty-four thousand, six hundred twenty-four".