3612420 has 144 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 794880.

The previous prime is 3612419. The next prime is 3612431. The reversal of 3612420 is 242163.

3612420 = T₃₅ + T₃₆ + ... + T₂₇₈.

It is a happy number.

3612420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3612393 and 3612402.

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 47 ways as a sum of consecutive naturals, for example, 59190 + ... + 59250.

It is an arithmetic number, because the mean of its divisors is an integer number (90272).

Almost surely, 2^3612420 is an apocalyptic number.

3612420 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 3612420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

3612420 is an abundant number, since it is smaller than the sum of its proper divisors (9386748).

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

3612420 is a wasteful number, since it uses less digits than its factorization.

3612420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

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

The square root of 3612420 is about 1900.6367354126. The cubic root of 3612420 is about 153.4379353469.

Adding to 3612420 its reverse (242163), we get a palindrome (3854583).

The spelling of 3612420 in words is "three million, six hundred twelve thousand, four hundred twenty".