3326173488400 has 225 divisors, whose sum is σ = 9327444457263. Its totient is φ = 1139789548800.

The previous prime is 3326173488373. The next prime is 3326173488403. The reversal of 3326173488400 is 48843716233.

The square root of 3326173488400 is 1823780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2023142106384 + 1303031382016 = 1422372^2 + 1141504^2 .

It is a super-2 number, since 2×3326173488400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3326173488403) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 1787303470 + ... + 1787305330.

Almost surely, 2^{3326173488400} is an apocalyptic number.

3326173488400 is the 1823780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3326173488400

3326173488400 is an abundant number, since it is smaller than the sum of its proper divisors (6001270968863).

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

3326173488400 is an frugal number, since it uses more digits than its factorization.

3326173488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

Multiplying 3326173488400 by its sum of digits (49), we get a square (162982500931600 = 12766460²).

3326173488400 divided by its sum of digits (49) gives a square (67881091600 = 260540²).

The spelling of 3326173488400 in words is "three trillion, three hundred twenty-six billion, one hundred seventy-three million, four hundred eighty-eight thousand, four hundred".