3466368 has 128 divisors (see below), whose sum is σ = 11016000. Its totient is φ = 1069056.

The previous prime is 3466367. The next prime is 3466369. The reversal of 3466368 is 8636643.

It is an interprime number because it is at equal distance from previous prime (3466367) and next prime (3466369).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3466368² = 24031414222848, which contains 22 as substring.

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 (62208) is a multiple of the sum of its prime divisors (81).

It is not an unprimeable number, because it can be changed into a prime (3466363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58723 + ... + 58781.

Almost surely, 2^3466368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508000).

3466368 is an abundant number, since it is smaller than the sum of its proper divisors (7549632).

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

3466368 is a wasteful number, since it uses less digits than its factorization.

3466368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 3466368 is about 1861.8184659091. The cubic root of 3466368 is about 151.3415655743.

The spelling of 3466368 in words is "three million, four hundred sixty-six thousand, three hundred sixty-eight".