3258843840 has 336 divisors, whose sum is σ = 13287036672. Its totient is φ = 744754176.

The previous prime is 3258843821. The next prime is 3258843853. The reversal of 3258843840 is 483488523.

3258843840 is a `hidden beast` number, since 32 + 588 + 4 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 541327 + ... + 547313.

It is an arithmetic number, because the mean of its divisors is an integer number (39544752).

Almost surely, 2^3258843840 is an apocalyptic number.

3258843840 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 3258843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643518336).

3258843840 is an abundant number, since it is smaller than the sum of its proper divisors (10028192832).

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

3258843840 is an equidigital number, since it uses as much as digits as its factorization.

3258843840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3258843840 is about 57086.2841670396. The cubic root of 3258843840 is about 1482.5903989345.

The spelling of 3258843840 in words is "three billion, two hundred fifty-eight million, eight hundred forty-three thousand, eight hundred forty".