3242414880 has 192 divisors, whose sum is σ = 11842225920. Its totient is φ = 827025408.

The previous prime is 3242414873. The next prime is 3242414891. The reversal of 3242414880 is 884142423.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 83044 + ... + 115676.

It is an arithmetic number, because the mean of its divisors is an integer number (61678260).

Almost surely, 2^3242414880 is an apocalyptic number.

3242414880 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 3242414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921112960).

3242414880 is an abundant number, since it is smaller than the sum of its proper divisors (8599811040).

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

3242414880 is a wasteful number, since it uses less digits than its factorization.

3242414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32680 (or 32666 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 3242414880 is about 56942.2064904408. The cubic root of 3242414880 is about 1480.0947833137.

The spelling of 3242414880 in words is "three billion, two hundred forty-two million, four hundred fourteen thousand, eight hundred eighty".