3398209056 has 288 divisors, whose sum is σ = 11051546688. Its totient is φ = 981227520.

The previous prime is 3398209049. The next prime is 3398209069. The reversal of 3398209056 is 6509028933.

3398209056 is a `hidden beast` number, since 3 + 398 + 209 + 0 + 56 = 666.

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

It is a super-2 number, since 2×3398209056² = 23095649576560822272, which contains 22 as substring.

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, 6212175 + ... + 6212721.

It is an arithmetic number, because the mean of its divisors is an integer number (38373426).

Almost surely, 2^3398209056 is an apocalyptic number.

3398209056 is a gapful number since it is divisible by the number (36) 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 3398209056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525773344).

3398209056 is an abundant number, since it is smaller than the sum of its proper divisors (7653337632).

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

3398209056 is a wasteful number, since it uses less digits than its factorization.

3398209056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3398209056 is about 58294.1597074698. The cubic root of 3398209056 is about 1503.4305270086.

The spelling of 3398209056 in words is "three billion, three hundred ninety-eight million, two hundred nine thousand, fifty-six".