3475848960 has 216 divisors, whose sum is σ = 12415288704. Its totient is φ = 896901120.

The previous prime is 3475848919. The next prime is 3475848967. The reversal of 3475848960 is 698485743.

3475848960 is a `hidden beast` number, since 3 + 475 + 84 + 8 + 96 + 0 = 666.

3475848960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3475848897 and 3475848906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3475848967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352254 + ... + 361986.

Almost surely, 2^3475848960 is an apocalyptic number.

3475848960 is a gapful number since it is divisible by the number (30) 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 3475848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207644352).

3475848960 is an abundant number, since it is smaller than the sum of its proper divisors (8939439744).

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

3475848960 is a wasteful number, since it uses less digits than its factorization.

3475848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3475848960 is about 58956.3309577521. The cubic root of 3475848960 is about 1514.7941948323.

The spelling of 3475848960 in words is "three billion, four hundred seventy-five million, eight hundred forty-eight thousand, nine hundred sixty".