3354220400 has 30 divisors (see below), whose sum is σ = 8058515472. Its totient is φ = 1341688000.

The previous prime is 3354220391. The next prime is 3354220447. The reversal of 3354220400 is 40224533.

It is a super-2 number, since 2×3354220400² = 22501588983552320000, which contains 22 as substring.

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 4192376 + ... + 4193175.

Almost surely, 2^3354220400 is an apocalyptic number.

It is an amenable number.

3354220400 is an abundant number, since it is smaller than the sum of its proper divisors (4704295072).

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

3354220400 is a wasteful number, since it uses less digits than its factorization.

3354220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385569 (or 8385558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 3354220400 is about 57915.6317413529. The cubic root of 3354220400 is about 1496.9152011001.

Adding to 3354220400 its reverse (40224533), we get a palindrome (3394444933).

The spelling of 3354220400 in words is "three billion, three hundred fifty-four million, two hundred twenty thousand, four hundred".