3345314160400 has 135 divisors (see below), whose sum is σ = 8121208374111. Its totient is φ = 1324269008640.

The previous prime is 3345314160367. The next prime is 3345314160427. The reversal of 3345314160400 is 40614135433.

The square root of 3345314160400 is 1829020.

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 12265119504 + 3333049040896 = 110748^2 + 1825664^2 .

It is a super-2 number, since 2×3345314160400² (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 26 ways as a sum of consecutive naturals, for example, 3987263181 + ... + 3987264019.

Almost surely, 2^{3345314160400} is an apocalyptic number.

3345314160400 is the 1829020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345314160400

3345314160400 is an abundant number, since it is smaller than the sum of its proper divisors (4775894213711).

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

3345314160400 is an frugal number, since it uses more digits than its factorization.

3345314160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 3345314160400 its reverse (40614135433), we get a palindrome (3385928295833).

The spelling of 3345314160400 in words is "three trillion, three hundred forty-five billion, three hundred fourteen million, one hundred sixty thousand, four hundred".