3309398400 has 768 divisors, whose sum is σ = 14072670720. Its totient is φ = 669081600.

The previous prime is 3309398383. The next prime is 3309398453. The reversal of 3309398400 is 48939033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89443182 + ... + 89443218.

It is an arithmetic number, because the mean of its divisors is an integer number (18323790).

Almost surely, 2^3309398400 is an apocalyptic number.

3309398400 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 3309398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036335360).

3309398400 is an abundant number, since it is smaller than the sum of its proper divisors (10763272320).

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

3309398400 is a wasteful number, since it uses less digits than its factorization.

3309398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3309398400 is about 57527.3708768270. The cubic root of 3309398400 is about 1490.2175860492.

The spelling of 3309398400 in words is "three billion, three hundred nine million, three hundred ninety-eight thousand, four hundred".