3338652768 has 192 divisors, whose sum is σ = 10082548224. Its totient is φ = 957440000.

The previous prime is 3338652761. The next prime is 3338652781. The reversal of 3338652768 is 8672568333.

It is a super-2 number, since 2×3338652768² = 22293204610548123648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3338652768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3338652761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2452408 + ... + 2453768.

It is an arithmetic number, because the mean of its divisors is an integer number (52513272).

Almost surely, 2^3338652768 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 3338652768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5041274112).

3338652768 is an abundant number, since it is smaller than the sum of its proper divisors (6743895456).

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

3338652768 is a wasteful number, since it uses less digits than its factorization.

3338652768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 3338652768 is about 57781.0762101226. The cubic root of 3338652768 is about 1494.5957778604.

It can be divided in two parts, 333865 and 2768, that added together give a palindrome (336633).

The spelling of 3338652768 in words is "three billion, three hundred thirty-eight million, six hundred fifty-two thousand, seven hundred sixty-eight".