3475355968 has 336 divisors, whose sum is σ = 9256654080. Its totient is φ = 1281982464.

The previous prime is 3475355957. The next prime is 3475355993. The reversal of 3475355968 is 8695535743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47607580 + ... + 47607652.

Almost surely, 2^3475355968 is an apocalyptic number.

3475355968 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 3475355968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628327040).

3475355968 is an abundant number, since it is smaller than the sum of its proper divisors (5781298112).

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

3475355968 is a wasteful number, since it uses less digits than its factorization.

3475355968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its digits is 13608000, while the sum is 55.

The square root of 3475355968 is about 58952.1498166097. The cubic root of 3475355968 is about 1514.7225752330.

The spelling of 3475355968 in words is "three billion, four hundred seventy-five million, three hundred fifty-five thousand, nine hundred sixty-eight".