3398873760 has 288 divisors, whose sum is σ = 12403093248. Its totient is φ = 845475840.

The previous prime is 3398873749. The next prime is 3398873789. The reversal of 3398873760 is 673788933.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3398873697 and 3398873706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1356669 + ... + 1359171.

It is an arithmetic number, because the mean of its divisors is an integer number (43066296).

Almost surely, 2^3398873760 is an apocalyptic number.

3398873760 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 3398873760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201546624).

3398873760 is an abundant number, since it is smaller than the sum of its proper divisors (9004219488).

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

3398873760 is a wasteful number, since it uses less digits than its factorization.

3398873760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3398873760 is about 58299.8607202453. The cubic root of 3398873760 is about 1503.5285463983.

The spelling of 3398873760 in words is "three billion, three hundred ninety-eight million, eight hundred seventy-three thousand, seven hundred sixty".