3241779840 has 256 divisors, whose sum is σ = 12365337600. Its totient is φ = 797921280.

The previous prime is 3241779811. The next prime is 3241779851. The reversal of 3241779840 is 489771423.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 217425 + ... + 231855.

It is an arithmetic number, because the mean of its divisors is an integer number (48302100).

Almost surely, 2^3241779840 is an apocalyptic number.

3241779840 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 3241779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182668800).

3241779840 is an abundant number, since it is smaller than the sum of its proper divisors (9123557760).

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

3241779840 is a wasteful number, since it uses less digits than its factorization.

3241779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14472 (or 14454 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3241779840 is about 56936.6300372616. The cubic root of 3241779840 is about 1479.9981494985.

The spelling of 3241779840 in words is "three billion, two hundred forty-one million, seven hundred seventy-nine thousand, eight hundred forty".