3138432 has 64 divisors (see below), whose sum is σ = 9106560. Its totient is φ = 949760.

The previous prime is 3138403. The next prime is 3138449. The reversal of 3138432 is 2348313.

3138432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3853 + ... + 4595.

It is an arithmetic number, because the mean of its divisors is an integer number (142290).

Almost surely, 2^3138432 is an apocalyptic number.

3138432 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 3138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4553280).

3138432 is an abundant number, since it is smaller than the sum of its proper divisors (5968128).

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

3138432 is a wasteful number, since it uses less digits than its factorization.

3138432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

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

The square root of 3138432 is about 1771.5620226230. The cubic root of 3138432 is about 146.4100563429.

It can be divided in two parts, 3138 and 432, that added together give a triangular number (3570 = T₈₄).

The spelling of 3138432 in words is "three million, one hundred thirty-eight thousand, four hundred thirty-two".