3313041408 has 204 divisors, whose sum is σ = 9875937708. Its totient is φ = 1069547520.

The previous prime is 3313041377. The next prime is 3313041409. The reversal of 3313041408 is 8041403133.

It can be written as a sum of positive squares in 2 ways, for example, as 897122304 + 2415919104 = 29952^2 + 49152^2 .

It is a super-2 number, since 2×3313041408² = 21952486742245244928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3313041409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24182716 + ... + 24182852.

Almost surely, 2^3313041408 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 3313041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937968854).

3313041408 is an abundant number, since it is smaller than the sum of its proper divisors (6562896300).

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

3313041408 is an equidigital number, since it uses as much as digits as its factorization.

3313041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3313041408 is about 57559.0254260789. The cubic root of 3313041408 is about 1490.7641993710.

The spelling of 3313041408 in words is "three billion, three hundred thirteen million, forty-one thousand, four hundred eight".