3338313426 has 160 divisors (see below), whose sum is σ = 9446595840. Its totient is φ = 858553344.

The previous prime is 3338313413. The next prime is 3338313427. The reversal of 3338313426 is 6243138333.

3338313426 is a `hidden beast` number, since 3 + 338 + 313 + 4 + 2 + 6 = 666.

It is a super-2 number, since 2×3338313426² = 22288673060423714952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3338313427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 439630 + ... + 447158.

It is an arithmetic number, because the mean of its divisors is an integer number (59041224).

Almost surely, 2^3338313426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338313426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723297920).

3338313426 is an abundant number, since it is smaller than the sum of its proper divisors (6108282414).

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

3338313426 is a wasteful number, since it uses less digits than its factorization.

3338313426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7581 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 3338313426 is about 57778.1396896785. The cubic root of 3338313426 is about 1494.5451390409.

The spelling of 3338313426 in words is "three billion, three hundred thirty-eight million, three hundred thirteen thousand, four hundred twenty-six".