3413872 has 80 divisors (see below), whose sum is σ = 8785152. Its totient is φ = 1244160.

The previous prime is 3413857. The next prime is 3413897. The reversal of 3413872 is 2783143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3413872.

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, 20863 + ... + 21025.

Almost surely, 2^3413872 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 3413872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392576).

3413872 is an abundant number, since it is smaller than the sum of its proper divisors (5371280).

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

3413872 is a wasteful number, since it uses less digits than its factorization.

3413872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 3413872 is about 1847.6666365987. Note that the first 4 decimals coincide. The cubic root of 3413872 is about 150.5736845909.

The spelling of 3413872 in words is "three million, four hundred thirteen thousand, eight hundred seventy-two".