3338057408 has 56 divisors (see below), whose sum is σ = 7968691200. Its totient is φ = 1355298048.

The previous prime is 3338057377. The next prime is 3338057417. The reversal of 3338057408 is 8047508333.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3338057408² = 22285254518207356928, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187568 + ... + 204591.

Almost surely, 2^3338057408 is an apocalyptic number.

3338057408 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3338057408 is an abundant number, since it is smaller than the sum of its proper divisors (4630633792).

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

3338057408 is a wasteful number, since it uses less digits than its factorization.

3338057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392197 (or 392187 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 3338057408 is about 57775.9241206923. The cubic root of 3338057408 is about 1494.5069320992.

The spelling of 3338057408 in words is "three billion, three hundred thirty-eight million, fifty-seven thousand, four hundred eight".