3248995320000 has 560 divisors, whose sum is σ = 12189622072320. Its totient is φ = 847951488000.

The previous prime is 3248995319989. The next prime is 3248995320029. The reversal of 3248995320000 is 235998423.

It is a happy number.

3248995320000 is a `hidden beast` number, since 3 + 24 + 8 + 99 + 532 + 0 + 0 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 50727997 + ... + 50792003.

It is an arithmetic number, because the mean of its divisors is an integer number (21767182272).

Almost surely, 2^{3248995320000} is an apocalyptic number.

3248995320000 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 3248995320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6094811036160).

3248995320000 is an abundant number, since it is smaller than the sum of its proper divisors (8940626752320).

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

3248995320000 is an equidigital number, since it uses as much as digits as its factorization.

3248995320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64095 (or 64064 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3248995320000 in words is "three trillion, two hundred forty-eight billion, nine hundred ninety-five million, three hundred twenty thousand".