3398329958400 has 828 divisors, whose sum is σ = 13157328752932. Its totient is φ = 833492090880.

The previous prime is 3398329958399. The next prime is 3398329958411. The reversal of 3398329958400 is 48599238933.

3398329958400 is a `hidden beast` number, since 3 + 3 + 98 + 3 + 2 + 99 + 58 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 826848313344 + 2571481645056 = 909312^2 + 1603584^2 .

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 35 ways as a sum of consecutive naturals, for example, 12268339062 + ... + 12268339338.

Almost surely, 2^{3398329958400} is an apocalyptic number.

3398329958400 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 3398329958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578664376466).

3398329958400 is an abundant number, since it is smaller than the sum of its proper divisors (9758998794532).

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

3398329958400 is an frugal number, since it uses more digits than its factorization.

3398329958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 3398329958400 in words is "three trillion, three hundred ninety-eight billion, three hundred twenty-nine million, nine hundred fifty-eight thousand, four hundred".