3214080 has 180 divisors, whose sum is σ = 11871552. Its totient is φ = 829440.

The previous prime is 3214073. The next prime is 3214087. The reversal of 3214080 is 804123.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3214073) and next prime (3214087).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3214087) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103665 + ... + 103695.

Almost surely, 2^3214080 is an apocalyptic number.

3214080 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 3214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935776).

3214080 is an abundant number, since it is smaller than the sum of its proper divisors (8657472).

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

3214080 is an equidigital number, since it uses as much as digits as its factorization.

3214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3214080 is about 1792.7855421104. The cubic root of 3214080 is about 147.5770735757.

The spelling of 3214080 in words is "three million, two hundred fourteen thousand, eighty".