3353704400 has 60 divisors (see below), whose sum is σ = 8128687692. Its totient is φ = 1329592320.

The previous prime is 3353704397. The next prime is 3353704423. The reversal of 3353704400 is 44073533.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1816123456 + 1537580944 = 42616^2 + 39212^2 .

It is a super-2 number, since 2×3353704400² = 22494666405158720000, 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 11 ways as a sum of consecutive naturals, for example, 8102 + ... + 82298.

Almost surely, 2^3353704400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3353704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064343846).

3353704400 is an abundant number, since it is smaller than the sum of its proper divisors (4774983292).

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

3353704400 is a wasteful number, since it uses less digits than its factorization.

3353704400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74328 (or 74317 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 29.

The square root of 3353704400 is about 57911.1768141522. The cubic root of 3353704400 is about 1496.8384373256.

Adding to 3353704400 its reverse (44073533), we get a palindrome (3397777933).

The spelling of 3353704400 in words is "three billion, three hundred fifty-three million, seven hundred four thousand, four hundred".