3126432 has 48 divisors (see below), whose sum is σ = 8497440. Its totient is φ = 1005312.

The previous prime is 3126427. The next prime is 3126437. The reversal of 3126432 is 2346213.

It is a happy number.

3126432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3126427) and next prime (3126437).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3126399 and 3126408.

It is not an unprimeable number, because it can be changed into a prime (3126437) by changing a digit.

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, 2223 + ... + 3345.

It is an arithmetic number, because the mean of its divisors is an integer number (177030).

Almost surely, 2^3126432 is an apocalyptic number.

3126432 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 3126432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248720).

3126432 is an abundant number, since it is smaller than the sum of its proper divisors (5371008).

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

3126432 is a wasteful number, since it uses less digits than its factorization.

3126432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1157 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 3126432 is about 1768.1719373409. The cubic root of 3126432 is about 146.2232151986.

The spelling of 3126432 in words is "three million, one hundred twenty-six thousand, four hundred thirty-two".