3468420 has 60 divisors (see below), whose sum is σ = 10885644. Its totient is φ = 924480.

The previous prime is 3468407. The next prime is 3468427. The reversal of 3468420 is 248643.

It can be written as a sum of positive squares in 2 ways, for example, as 2452356 + 1016064 = 1566^2 + 1008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3468427) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 550 + ... + 2690.

Almost surely, 2^3468420 is an apocalyptic number.

3468420 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 3468420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442822).

3468420 is an abundant number, since it is smaller than the sum of its proper divisors (7417224).

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

3468420 is a wasteful number, since it uses less digits than its factorization.

3468420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3468420 is about 1862.3694585125. The cubic root of 3468420 is about 151.3714231114.

The spelling of 3468420 in words is "three million, four hundred sixty-eight thousand, four hundred twenty".