3461220 has 144 divisors (see below), whose sum is σ = 12475008. Its totient is φ = 760320.

The previous prime is 3461203. The next prime is 3461231. The reversal of 3461220 is 221643.

It is a happy number.

3461220 is a `hidden beast` number, since 34 + 612 + 20 = 666.

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 = 3461193 and 3461202.

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, 51627 + ... + 51693.

It is an arithmetic number, because the mean of its divisors is an integer number (86632).

Almost surely, 2^3461220 is an apocalyptic number.

3461220 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 3461220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504).

3461220 is an abundant number, since it is smaller than the sum of its proper divisors (9013788).

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

3461220 is a wasteful number, since it uses less digits than its factorization.

3461220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 125 counting only the distinct ones).

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

The square root of 3461220 is about 1860.4354329027. The cubic root of 3461220 is about 151.2666079252.

Adding to 3461220 its reverse (221643), we get a palindrome (3682863).

The spelling of 3461220 in words is "three million, four hundred sixty-one thousand, two hundred twenty".