3353948208 has 320 divisors, whose sum is σ = 10744728960. Its totient is φ = 1007769600.

The previous prime is 3353948183. The next prime is 3353948231. The reversal of 3353948208 is 8028493533.

3353948208 is a `hidden beast` number, since 3 + 353 + 94 + 8 + 208 = 666.

It is a super-2 number, since 2×3353948208² = 22497937163892822528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33207358 + ... + 33207458.

It is an arithmetic number, because the mean of its divisors is an integer number (33577278).

Almost surely, 2^3353948208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3353948208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372364480).

3353948208 is an abundant number, since it is smaller than the sum of its proper divisors (7390780752).

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

3353948208 is a wasteful number, since it uses less digits than its factorization.

3353948208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3353948208 is about 57913.2817926942. The cubic root of 3353948208 is about 1496.8747088927.

The spelling of 3353948208 in words is "three billion, three hundred fifty-three million, nine hundred forty-eight thousand, two hundred eight".