3431328 has 48 divisors (see below), whose sum is σ = 9305856. Its totient is φ = 1105920.

The previous prime is 3431327. The next prime is 3431333. The reversal of 3431328 is 8231343.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3431298 and 3431307.

It is not an unprimeable number, because it can be changed into a prime (3431327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2400 + ... + 3552.

It is an arithmetic number, because the mean of its divisors is an integer number (193872).

Almost surely, 2^3431328 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 3431328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652928).

3431328 is an abundant number, since it is smaller than the sum of its proper divisors (5874528).

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

3431328 is a wasteful number, since it uses less digits than its factorization.

3431328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1189 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3431328 is about 1852.3844093492. The cubic root of 3431328 is about 150.8298889832.

The spelling of 3431328 in words is "three million, four hundred thirty-one thousand, three hundred twenty-eight".