3338045568 has 384 divisors, whose sum is σ = 11788882560. Its totient is φ = 892108800.

The previous prime is 3338045549. The next prime is 3338045573. The reversal of 3338045568 is 8655408333.

3338045568 is a `hidden beast` number, since 3 + 3 + 3 + 80 + 4 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3338045568² = 22285096428088885248, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3788488 + ... + 3789368.

It is an arithmetic number, because the mean of its divisors is an integer number (30700215).

Almost surely, 2^3338045568 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 3338045568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894441280).

3338045568 is an abundant number, since it is smaller than the sum of its proper divisors (8450836992).

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

3338045568 is a wasteful number, since it uses less digits than its factorization.

3338045568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3338045568 is about 57775.8216557757. The cubic root of 3338045568 is about 1494.5051651051.

The spelling of 3338045568 in words is "three billion, three hundred thirty-eight million, forty-five thousand, five hundred sixty-eight".