3338214768 has 150 divisors (see below), whose sum is σ = 11239406376. Its totient is φ = 953757504.

The previous prime is 3338214727. The next prime is 3338214787. The reversal of 3338214768 is 8674128333.

It is a super-2 number, since 2×3338214768² = 22287355674586587648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 37221 + ... + 89787.

Almost surely, 2^3338214768 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 3338214768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5619703188).

3338214768 is an abundant number, since it is smaller than the sum of its proper divisors (7901191608).

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

3338214768 is a wasteful number, since it uses less digits than its factorization.

3338214768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52601 (or 52579 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3338214768 is about 57777.2859175645. The cubic root of 3338214768 is about 1494.5304160088.

The spelling of 3338214768 in words is "three billion, three hundred thirty-eight million, two hundred fourteen thousand, seven hundred sixty-eight".