3301599168 has 336 divisors, whose sum is σ = 11227856640. Its totient is φ = 908070912.

The previous prime is 3301599131. The next prime is 3301599181. The reversal of 3301599168 is 8619951033.

3301599168 is a `hidden beast` number, since 330 + 159 + 9 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3301599168² = 21801114132276584448, which contains 22 as substring.

It is a congruent number.

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, 23752443 + ... + 23752581.

It is an arithmetic number, because the mean of its divisors is an integer number (33416240).

Almost surely, 2^3301599168 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 3301599168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613928320).

3301599168 is an abundant number, since it is smaller than the sum of its proper divisors (7926257472).

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

3301599168 is a wasteful number, since it uses less digits than its factorization.

3301599168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 3301599168 is about 57459.5437503640. The cubic root of 3301599168 is about 1489.0460040365.

The spelling of 3301599168 in words is "three billion, three hundred one million, five hundred ninety-nine thousand, one hundred sixty-eight".