3232405440 has 336 divisors, whose sum is σ = 12581412480. Its totient is φ = 783406080.

The previous prime is 3232405411. The next prime is 3232405459. The reversal of 3232405440 is 445042323.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 853471 + ... + 857249.

It is an arithmetic number, because the mean of its divisors is an integer number (37444680).

Almost surely, 2^3232405440 is an apocalyptic number.

3232405440 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 3232405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290706240).

3232405440 is an abundant number, since it is smaller than the sum of its proper divisors (9349007040).

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

3232405440 is a wasteful number, since it uses less digits than its factorization.

3232405440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 3232405440 is about 56854.2473347418. The cubic root of 3232405440 is about 1478.5701798531.

Adding to 3232405440 its reverse (445042323), we get a palindrome (3677447763).

The spelling of 3232405440 in words is "three billion, two hundred thirty-two million, four hundred five thousand, four hundred forty".