3263430240 has 288 divisors, whose sum is σ = 12786149376. Its totient is φ = 742487040.

The previous prime is 3263430221. The next prime is 3263430241. The reversal of 3263430240 is 420343623.

It is a happy number.

3263430240 is a `hidden beast` number, since 3 + 2 + 634 + 3 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3263430241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2650425 + ... + 2651655.

It is an arithmetic number, because the mean of its divisors is an integer number (44396352).

Almost surely, 2^3263430240 is an apocalyptic number.

3263430240 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 3263430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6393074688).

3263430240 is an abundant number, since it is smaller than the sum of its proper divisors (9522719136).

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

3263430240 is a wasteful number, since it uses less digits than its factorization.

3263430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3263430240 is about 57126.4408133397. The cubic root of 3263430240 is about 1483.2855907988.

Adding to 3263430240 its reverse (420343623), we get a palindrome (3683773863).

The spelling of 3263430240 in words is "three billion, two hundred sixty-three million, four hundred thirty thousand, two hundred forty".