3475872 has 84 divisors (see below), whose sum is σ = 10328850. Its totient is φ = 1150848.

The previous prime is 3475861. The next prime is 3475873. The reversal of 3475872 is 2785743.

It can be written as a sum of positive squares in only one way, i.e., 3370896 + 104976 = 1836^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3475873) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23254 + ... + 23402.

Almost surely, 2^3475872 is an apocalyptic number.

3475872 is a gapful number since it is divisible by the number (32) 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 3475872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164425).

3475872 is an abundant number, since it is smaller than the sum of its proper divisors (6852978).

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

3475872 is an equidigital number, since it uses as much as digits as its factorization.

3475872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 154 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 3475872 is about 1864.3690621763. The cubic root of 3475872 is about 151.4797541811.

The spelling of 3475872 in words is "three million, four hundred seventy-five thousand, eight hundred seventy-two".