3462144 has 132 divisors (see below), whose sum is σ = 11201184. Its totient is φ = 946176.

The previous prime is 3462133. The next prime is 3462181. The reversal of 3462144 is 4412643.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150517 + ... + 150539.

Almost surely, 2^3462144 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 3462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600592).

3462144 is an abundant number, since it is smaller than the sum of its proper divisors (7739040).

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

3462144 is a wasteful number, since it uses less digits than its factorization.

3462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3462144 is about 1860.6837452936. The cubic root of 3462144 is about 151.2800673326.

Adding to 3462144 its reverse (4412643), we get a palindrome (7874787).

The spelling of 3462144 in words is "three million, four hundred sixty-two thousand, one hundred forty-four".