3642912 has 144 divisors (see below), whose sum is σ = 12841920. Its totient is φ = 953856.

The previous prime is 3642911. The next prime is 3642931. The reversal of 3642912 is 2192463.

3642912 is a `hidden beast` number, since 3 + 642 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (3642911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26139 + ... + 26277.

It is an arithmetic number, because the mean of its divisors is an integer number (89180).

Almost surely, 2^3642912 is an apocalyptic number.

3642912 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 3642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6420960).

3642912 is an abundant number, since it is smaller than the sum of its proper divisors (9199008).

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

3642912 is a wasteful number, since it uses less digits than its factorization.

3642912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3642912 is about 1908.6414016258. The cubic root of 3642912 is about 153.8684433346.

It can be divided in two parts, 3642 and 912, that added together give a palindrome (4554).

The spelling of 3642912 in words is "three million, six hundred forty-two thousand, nine hundred twelve".