3249540980784 has 480 divisors, whose sum is σ = 10747294272000. Its totient is φ = 897484271616.

The previous prime is 3249540980773. The next prime is 3249540980789. The reversal of 3249540980784 is 4870890459423.

3249540980784 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 540 + 9 + 8 + 0 + 7 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3249540980789) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 888093547 + ... + 888097205.

It is an arithmetic number, because the mean of its divisors is an integer number (22390196400).

Almost surely, 2^{3249540980784} 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 3249540980784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373647136000).

3249540980784 is an abundant number, since it is smaller than the sum of its proper divisors (7497753291216).

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

3249540980784 is a wasteful number, since it uses less digits than its factorization.

3249540980784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

It can be divided in two parts, 3249540 and 980784, that added together give a palindrome (4230324).

The spelling of 3249540980784 in words is "three trillion, two hundred forty-nine billion, five hundred forty million, nine hundred eighty thousand, seven hundred eighty-four".