3214680 has 128 divisors (see below), whose sum is σ = 11404800. Its totient is φ = 709632.

The previous prime is 3214663. The next prime is 3214681. The reversal of 3214680 is 864123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3214680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214681) 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, 36076 + ... + 36164.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

Almost surely, 2^3214680 is an apocalyptic number.

3214680 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 3214680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702400).

3214680 is an abundant number, since it is smaller than the sum of its proper divisors (8190120).

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

3214680 is a wasteful number, since it uses less digits than its factorization.

3214680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3214680 is about 1792.9528716617. The cubic root of 3214680 is about 147.5862561655.

The spelling of 3214680 in words is "three million, two hundred fourteen thousand, six hundred eighty".