3326428822500 has 945 divisors, whose sum is σ = 12753069587181. Its totient is φ = 756387072000.

The previous prime is 3326428822433. The next prime is 3326428822511. The reversal of 3326428822500 is 52288246233.

It is a happy number.

The square root of 3326428822500 is 1823850.

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

3326428822500 is a `hidden beast` number, since 3 + 3 + 2 + 6 + 42 + 88 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3152279517156 + 174149305344 = 1775466^2 + 417312^2 .

It is a tau number, because it is divible by the number of its divisors (945).

It is a super-2 number, since 2×3326428822500² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 17235382404 + ... + 17235382596.

Almost surely, 2^{3326428822500} is an apocalyptic number.

3326428822500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3326428822500 is the 1823850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3326428822500

3326428822500 is an abundant number, since it is smaller than the sum of its proper divisors (9426640764681).

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

3326428822500 is an frugal number, since it uses more digits than its factorization.

3326428822500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 3326428822500 in words is "three trillion, three hundred twenty-six billion, four hundred twenty-eight million, eight hundred twenty-two thousand, five hundred".