3212640 has 144 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 811008.

The previous prime is 3212639. The next prime is 3212647. The reversal of 3212640 is 462123.

3212640 = T₁₁₅ + T₁₁₆ + ... + T₂₇₄.

It is a happy number.

3212640 is a `hidden beast` number, since 3 + 21 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33072 + ... + 33168.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

Almost surely, 2^3212640 is an apocalyptic number.

3212640 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 3212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

3212640 is an abundant number, since it is smaller than the sum of its proper divisors (8345088).

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

3212640 is a wasteful number, since it uses less digits than its factorization.

3212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3212640 is about 1792.3838874527. The cubic root of 3212640 is about 147.5550306966. Note that the first 3 decimals are identical.

Adding to 3212640 its reverse (462123), we get a palindrome (3674763).

The spelling of 3212640 in words is "three million, two hundred twelve thousand, six hundred forty".