3642432 has 56 divisors (see below), whose sum is σ = 9826752. Its totient is φ = 1190400.

The previous prime is 3642427. The next prime is 3642449. The reversal of 3642432 is 2342463.

It is a happy number.

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 unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11557 + ... + 11867.

Almost surely, 2^3642432 is an apocalyptic number.

3642432 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 3642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913376).

3642432 is an abundant number, since it is smaller than the sum of its proper divisors (6184320).

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

3642432 is a wasteful number, since it uses less digits than its factorization.

3642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 3642432 is about 1908.5156535905. The cubic root of 3642432 is about 153.8616849961.

Adding to 3642432 its reverse (2342463), we get a palindrome (5984895).

The spelling of 3642432 in words is "three million, six hundred forty-two thousand, four hundred thirty-two".