3485590368 has 96 divisors (see below), whose sum is σ = 10039601376. Its totient is φ = 1052233728.

The previous prime is 3485590357. The next prime is 3485590387. The reversal of 3485590368 is 8630955843.

It is a happy number.

3485590368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3485590368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39796 + ... + 92492.

It is an arithmetic number, because the mean of its divisors is an integer number (104579181).

Almost surely, 2^3485590368 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 3485590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019800688).

3485590368 is an abundant number, since it is smaller than the sum of its proper divisors (6554011008).

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

3485590368 is a wasteful number, since it uses less digits than its factorization.

3485590368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52776 (or 52768 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 3485590368 is about 59038.8886074255. Note that the first 3 decimals coincide. The cubic root of 3485590368 is about 1516.2079947050.

The spelling of 3485590368 in words is "three billion, four hundred eighty-five million, five hundred ninety thousand, three hundred sixty-eight".