3420120 has 64 divisors (see below), whose sum is σ = 11197440. Its totient is φ = 828800.

The previous prime is 3420107. The next prime is 3420121. The reversal of 3420120 is 210243.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3420096 and 3420105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25 + ... + 2615.

It is an arithmetic number, because the mean of its divisors is an integer number (174960).

Almost surely, 2^3420120 is an apocalyptic number.

3420120 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 3420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598720).

3420120 is an abundant number, since it is smaller than the sum of its proper divisors (7777320).

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

3420120 is a wasteful number, since it uses less digits than its factorization.

3420120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3420120 is about 1849.3566448903. The cubic root of 3420120 is about 150.6654875866.

Adding to 3420120 its reverse (210243), we get a palindrome (3630363).

The spelling of 3420120 in words is "three million, four hundred twenty thousand, one hundred twenty".