3388206768 has 80 divisors (see below), whose sum is σ = 9248217600. Its totient is φ = 1065934080.

The previous prime is 3388206761. The next prime is 3388206769. The reversal of 3388206768 is 8676028833.

It is a super-2 number, since 2×3388206768² = 22959890205442011648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3388206768.

It is not an unprimeable number, because it can be changed into a prime (3388206761) 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 15 ways as a sum of consecutive naturals, for example, 240298 + ... + 254006.

It is an arithmetic number, because the mean of its divisors is an integer number (115602720).

Almost surely, 2^3388206768 is an apocalyptic number.

3388206768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3388206768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624108800).

3388206768 is an abundant number, since it is smaller than the sum of its proper divisors (5860010832).

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

3388206768 is a wasteful number, since it uses less digits than its factorization.

3388206768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14010 (or 14004 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 3388206768 is about 58208.3049744622. The cubic root of 3388206768 is about 1501.9540116758.

The spelling of 3388206768 in words is "three billion, three hundred eighty-eight million, two hundred six thousand, seven hundred sixty-eight".