3420900 has 144 divisors (see below), whose sum is σ = 12638080. Its totient is φ = 777600.

The previous prime is 3420877. The next prime is 3420913. The reversal of 3420900 is 90243.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18810 + ... + 18990.

Almost surely, 2^3420900 is an apocalyptic number.

3420900 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 3420900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319040).

3420900 is an abundant number, since it is smaller than the sum of its proper divisors (9217180).

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

3420900 is a wasteful number, since it uses less digits than its factorization.

3420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3420900 is about 1849.5675170158. The cubic root of 3420900 is about 150.6769404155.

It can be divided in two parts, 3 and 420900, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 3420900 in words is "three million, four hundred twenty thousand, nine hundred".