3343130400 has 144 divisors (see below), whose sum is σ = 10913301504. Its totient is φ = 888929280.

The previous prime is 3343130387. The next prime is 3343130429. The reversal of 3343130400 is 40313433.

It is a super-2 number, since 2×3343130400² = 22353041742808320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 917382 + ... + 921018.

It is an arithmetic number, because the mean of its divisors is an integer number (75786816).

Almost surely, 2^3343130400 is an apocalyptic number.

3343130400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456650752).

3343130400 is an abundant number, since it is smaller than the sum of its proper divisors (7570171104).

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

3343130400 is a wasteful number, since it uses less digits than its factorization.

3343130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4043 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3343130400 is about 57819.8097540973. The cubic root of 3343130400 is about 1495.2636381027.

Adding to 3343130400 its reverse (40313433), we get a palindrome (3383443833).

The spelling of 3343130400 in words is "three billion, three hundred forty-three million, one hundred thirty thousand, four hundred".