3421872 has 60 divisors (see below), whose sum is σ = 9933640. Its totient is φ = 1127808.

The previous prime is 3421867. The next prime is 3421877. The reversal of 3421872 is 2781243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3421867) and next prime (3421877).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3421877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38404 + ... + 38492.

Almost surely, 2^3421872 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 3421872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966820).

3421872 is an abundant number, since it is smaller than the sum of its proper divisors (6511768).

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

3421872 is an equidigital number, since it uses as much as digits as its factorization.

3421872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 94 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 3421872 is about 1849.8302624836. The cubic root of 3421872 is about 150.6912099661.

Multiplying 3421872 by its sum of digits (27), we get a square (92390544 = 9612²).

3421872 divided by its sum of digits (27) gives a square (126736 = 356²).

It can be divided in two parts, 3 and 421872, that added together give a cube (421875 = 75³).

The spelling of 3421872 in words is "three million, four hundred twenty-one thousand, eight hundred seventy-two".