3126420 has 72 divisors (see below), whose sum is σ = 10352160. Its totient is φ = 757440.

The previous prime is 3126397. The next prime is 3126427. The reversal of 3126420 is 246213.

It is a happy number.

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 = 3126393 and 3126402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3126427) 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, 1191 + ... + 2769.

It is an arithmetic number, because the mean of its divisors is an integer number (143780).

Almost surely, 2^3126420 is an apocalyptic number.

3126420 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 3126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176080).

3126420 is an abundant number, since it is smaller than the sum of its proper divisors (7225740).

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

3126420 is a wasteful number, since it uses less digits than its factorization.

3126420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1600 counting only the distinct ones).

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

The square root of 3126420 is about 1768.1685440025. The cubic root of 3126420 is about 146.2230281183.

The spelling of 3126420 in words is "three million, one hundred twenty-six thousand, four hundred twenty".