3485888 has 56 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 1440000.

The previous prime is 3485869. The next prime is 3485891. The reversal of 3485888 is 8885843.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13763 + ... + 14013.

It is an arithmetic number, because the mean of its divisors is an integer number (146304).

Almost surely, 2^3485888 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 3485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

3485888 is an abundant number, since it is smaller than the sum of its proper divisors (4707136).

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

3485888 is a wasteful number, since it uses less digits than its factorization.

3485888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 245760, while the sum is 44.

The square root of 3485888 is about 1867.0532932940. The cubic root of 3485888 is about 151.6251149439.

The spelling of 3485888 in words is "three million, four hundred eighty-five thousand, eight hundred eighty-eight".