3214380 has 72 divisors (see below), whose sum is σ = 9776592. Its totient is φ = 788736.

The previous prime is 3214373. The next prime is 3214381. The reversal of 3214380 is 834123.

3214380 = T₂₂₁ + T₂₂₂ + ... + T₃₁₀.

It is a happy number.

3214380 is a nontrivial binomial coefficient, being equal to C(2536, 2).

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (3214381) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9982 + ... + 10298.

It is an arithmetic number, because the mean of its divisors is an integer number (135786).

Almost surely, 2^3214380 is an apocalyptic number.

3214380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3214380 is the 2535-th triangular number and also the 1268-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3214380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888296).

3214380 is an abundant number, since it is smaller than the sum of its proper divisors (6562212).

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

3214380 is a wasteful number, since it uses less digits than its factorization.

3214380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3214380 is about 1792.8692088382. The cubic root of 3214380 is about 147.5816650134.

It can be divided in two parts, 32143 and 80, that added together give a palindrome (32223).

The spelling of 3214380 in words is "three million, two hundred fourteen thousand, three hundred eighty".