3642120 has 96 divisors (see below), whose sum is σ = 12093120. Its totient is φ = 950400.

The previous prime is 3642101. The next prime is 3642157. The reversal of 3642120 is 212463.

It is a happy number.

3642120 is a `hidden beast` number, since 3 + 642 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3642093 and 3642102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24045 + ... + 24195.

It is an arithmetic number, because the mean of its divisors is an integer number (125970).

Almost surely, 2^3642120 is an apocalyptic number.

3642120 is a gapful number since it is divisible by the number (30) 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 3642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046560).

3642120 is an abundant number, since it is smaller than the sum of its proper divisors (8451000).

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

3642120 is a wasteful number, since it uses less digits than its factorization.

3642120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3642120 is about 1908.4339129244. The cubic root of 3642120 is about 153.8572917577.

Adding to 3642120 its reverse (212463), we get a palindrome (3854583).

The spelling of 3642120 in words is "three million, six hundred forty-two thousand, one hundred twenty".