3395897568 has 240 divisors, whose sum is σ = 11561855760. Its totient is φ = 969663744.

The previous prime is 3395897551. The next prime is 3395897579. The reversal of 3395897568 is 8657985933.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2073646 + ... + 2075282.

It is an arithmetic number, because the mean of its divisors is an integer number (48174399).

Almost surely, 2^3395897568 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 3395897568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780927880).

3395897568 is an abundant number, since it is smaller than the sum of its proper divisors (8165958192).

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

3395897568 is an equidigital number, since it uses as much as digits as its factorization.

3395897568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1649 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The square root of 3395897568 is about 58274.3302664218. The cubic root of 3395897568 is about 1503.0895680106.

The spelling of 3395897568 in words is "three billion, three hundred ninety-five million, eight hundred ninety-seven thousand, five hundred sixty-eight".