3428659668 has 96 divisors (see below), whose sum is σ = 9675043840. Its totient is φ = 923166720.

The previous prime is 3428659667. The next prime is 3428659669. The reversal of 3428659668 is 8669568243.

3428659668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3428659667) and next prime (3428659669).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428659667) 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, 302463 + ... + 313593.

Almost surely, 2^3428659668 is an apocalyptic number.

3428659668 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 3428659668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837521920).

3428659668 is an abundant number, since it is smaller than the sum of its proper divisors (6246384172).

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

3428659668 is a wasteful number, since it uses less digits than its factorization.

3428659668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11357 (or 11355 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 57.

The square root of 3428659668 is about 58554.7578596308. The cubic root of 3428659668 is about 1507.9078181262.

The spelling of 3428659668 in words is "three billion, four hundred twenty-eight million, six hundred fifty-nine thousand, six hundred sixty-eight".