3213435240 has 320 divisors, whose sum is σ = 11143344960. Its totient is φ = 830269440.

The previous prime is 3213435227. The next prime is 3213435241. The reversal of 3213435240 is 425343123.

3213435240 is a `hidden beast` number, since 3 + 2 + 134 + 3 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3213435241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24529975 + ... + 24530105.

It is an arithmetic number, because the mean of its divisors is an integer number (34822953).

Almost surely, 2^3213435240 is an apocalyptic number.

3213435240 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 3213435240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571672480).

3213435240 is an abundant number, since it is smaller than the sum of its proper divisors (7929909720).

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

3213435240 is a wasteful number, since it uses less digits than its factorization.

3213435240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3213435240 is about 56687.1699769886. The cubic root of 3213435240 is about 1475.6720469073.

Adding to 3213435240 its reverse (425343123), we get a palindrome (3638778363).

The spelling of 3213435240 in words is "three billion, two hundred thirteen million, four hundred thirty-five thousand, two hundred forty".