3420 has 36 divisors (see below), whose sum is σ = 10920. Its totient is φ = 864.

The previous prime is 3413. The next prime is 3433. The reversal of 3420 is 243.

3420 = T₂₁ + T₂₂ + ... + T₃₀.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

3420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 189.

3420 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 3420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460).

3420 is an abundant number, since it is smaller than the sum of its proper divisors (7500).

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

3420 is a wasteful number, since it uses less digits than its factorization.

3420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 3420 is about 58.4807660689. The cubic root of 3420 is about 15.0663725458.

Adding to 3420 its reverse (243), we get a palindrome (3663).

The spelling of 3420 in words is "three thousand, four hundred twenty", and thus it is an iban number.