3461268 has 72 divisors (see below), whose sum is σ = 9217152. Its totient is φ = 1006848.

The previous prime is 3461257. The next prime is 3461273. The reversal of 3461268 is 8621643.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73621 + ... + 73667.

It is an arithmetic number, because the mean of its divisors is an integer number (128016).

Almost surely, 2^3461268 is an apocalyptic number.

3461268 is a gapful number since it is divisible by the number (38) 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 3461268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576).

3461268 is an abundant number, since it is smaller than the sum of its proper divisors (5755884).

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

3461268 is a wasteful number, since it uses less digits than its factorization.

3461268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3461268 is about 1860.4483330638. The cubic root of 3461268 is about 151.2673071742.

The spelling of 3461268 in words is "three million, four hundred sixty-one thousand, two hundred sixty-eight".