3398376960 has 720 divisors, whose sum is σ = 13753932192. Its totient is φ = 773160960.

The previous prime is 3398376913. The next prime is 3398376991. The reversal of 3398376960 is 696738933.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 3398376897 and 3398376906.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 64120294 + ... + 64120346.

Almost surely, 2^3398376960 is an apocalyptic number.

3398376960 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 3398376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6876966096).

3398376960 is an abundant number, since it is smaller than the sum of its proper divisors (10355555232).

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

3398376960 is a wasteful number, since it uses less digits than its factorization.

3398376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3398376960 is about 58295.5998339497. The cubic root of 3398376960 is about 1503.4552878789.

The spelling of 3398376960 in words is "three billion, three hundred ninety-eight million, three hundred seventy-six thousand, nine hundred sixty".