3240431040 has 448 divisors, whose sum is σ = 13062021120. Its totient is φ = 661032960.

The previous prime is 3240431021. The next prime is 3240431141. The reversal of 3240431040 is 401340423.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3240430998 and 3240431016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4360909 + ... + 4361651.

Almost surely, 2^3240431040 is an apocalyptic number.

3240431040 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 3240431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531010560).

3240431040 is an abundant number, since it is smaller than the sum of its proper divisors (9821590080).

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

3240431040 is a wasteful number, since it uses less digits than its factorization.

3240431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3240431040 is about 56924.7840575614. The cubic root of 3240431040 is about 1479.7928611980.

Adding to 3240431040 its reverse (401340423), we get a palindrome (3641771463).

The spelling of 3240431040 in words is "three billion, two hundred forty million, four hundred thirty-one thousand, forty".