3320121294400 has 63 divisors (see below), whose sum is σ = 8169752806131. Its totient is φ = 1328019363840.

The previous prime is 3320121294397. The next prime is 3320121294431. The reversal of 3320121294400 is 44921210233.

The square root of 3320121294400 is 1822120.

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 75396373056 + 3244724921344 = 274584^2 + 1801312^2 .

It is a super-2 number, since 2×3320121294400² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 72862024 + ... + 72907576.

Almost surely, 2^{3320121294400} is an apocalyptic number.

3320121294400 is the 1822120-th square number.

It is an amenable number.

3320121294400 is an abundant number, since it is smaller than the sum of its proper divisors (4849631511731).

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

3320121294400 is an frugal number, since it uses more digits than its factorization.

3320121294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91128 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 3320121294400 in words is "three trillion, three hundred twenty billion, one hundred twenty-one million, two hundred ninety-four thousand, four hundred".