3241753780000 has 480 divisors, whose sum is σ = 8521172352000. Its totient is φ = 1210163328000.

The previous prime is 3241753779973. The next prime is 3241753780061. The reversal of 3241753780000 is 873571423.

It is a happy number.

3241753780000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12326059869 + ... + 12326060131.

It is an arithmetic number, because the mean of its divisors is an integer number (17752442400).

Almost surely, 2^{3241753780000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241753780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260586176000).

3241753780000 is an abundant number, since it is smaller than the sum of its proper divisors (5279418572000).

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

3241753780000 is a wasteful number, since it uses less digits than its factorization.

3241753780000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 3241753780000 in words is "three trillion, two hundred forty-one billion, seven hundred fifty-three million, seven hundred eighty thousand".