3387000768 has 112 divisors (see below), whose sum is σ = 9089136000. Its totient is φ = 1113043968.

The previous prime is 3387000767. The next prime is 3387000779. The reversal of 3387000768 is 8670007833.

It is a happy number.

It is a super-2 number, since 2×3387000768² = 22943548404865179648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3387000767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4776798 + ... + 4777506.

It is an arithmetic number, because the mean of its divisors is an integer number (81153000).

Almost surely, 2^3387000768 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 3387000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544568000).

3387000768 is an abundant number, since it is smaller than the sum of its proper divisors (5702135232).

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

3387000768 is a wasteful number, since it uses less digits than its factorization.

3387000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3387000768 is about 58197.9447059774. The cubic root of 3387000768 is about 1501.7757884429.

The spelling of 3387000768 in words is "three billion, three hundred eighty-seven million, seven hundred sixty-eight", and thus it is an aban number.