3468816 has 120 divisors (see below), whose sum is σ = 11171160. Its totient is φ = 995328.

The previous prime is 3468781. The next prime is 3468821. The reversal of 3468816 is 6188643.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 646416 + 2822400 = 804^2 + 1680^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27648) is a multiple of the sum of its prime divisors (144).

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, 31770 + ... + 31878.

It is an arithmetic number, because the mean of its divisors is an integer number (93093).

Almost surely, 2^3468816 is an apocalyptic number.

3468816 is a gapful number since it is divisible by the number (36) 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 3468816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585580).

3468816 is an abundant number, since it is smaller than the sum of its proper divisors (7702344).

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

3468816 is a wasteful number, since it uses less digits than its factorization.

3468816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3468816 is about 1862.4757716545. The cubic root of 3468816 is about 151.3771837365.

The spelling of 3468816 in words is "three million, four hundred sixty-eight thousand, eight hundred sixteen".