3466320 has 160 divisors (see below), whose sum is σ = 12749184. Its totient is φ = 768000.

The previous prime is 3466319. The next prime is 3466321. The reversal of 3466320 is 236643.

It is an interprime number because it is at equal distance from previous prime (3466319) and next prime (3466321).

It is a Smith number, since the sum of its digits (24) 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 (24).

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3466321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34270 + ... + 34370.

Almost surely, 2^3466320 is an apocalyptic number.

3466320 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 3466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374592).

3466320 is an abundant number, since it is smaller than the sum of its proper divisors (9282864).

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

3466320 is a wasteful number, since it uses less digits than its factorization.

3466320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3466320 is about 1861.8055752414. The cubic root of 3466320 is about 151.3408670114.

It can be divided in two parts, 346 and 6320, that added together give a palindrome (6666).

The spelling of 3466320 in words is "three million, four hundred sixty-six thousand, three hundred twenty".