3497395968 has 432 divisors, whose sum is σ = 12053059200. Its totient is φ = 1000304640.

The previous prime is 3497395943. The next prime is 3497395999. The reversal of 3497395968 is 8695937943.

3497395968 is a `hidden beast` number, since 3 + 4 + 9 + 7 + 39 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13001338 + ... + 13001606.

It is an arithmetic number, because the mean of its divisors is an integer number (27900600).

Almost surely, 2^3497395968 is an apocalyptic number.

3497395968 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 3497395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026529600).

3497395968 is an abundant number, since it is smaller than the sum of its proper divisors (8555663232).

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

3497395968 is a wasteful number, since it uses less digits than its factorization.

3497395968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 304 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 3497395968 is about 59138.7856486756. The cubic root of 3497395968 is about 1517.9178508560.

The spelling of 3497395968 in words is "three billion, four hundred ninety-seven million, three hundred ninety-five thousand, nine hundred sixty-eight".