3249147882240 has 432 divisors, whose sum is σ = 12231323945568. Its totient is φ = 791541448704.

The previous prime is 3249147882229. The next prime is 3249147882283. The reversal of 3249147882240 is 422887419423.

3249147882240 is a `hidden beast` number, since 3 + 2 + 4 + 91 + 478 + 82 + 2 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14414887 + ... + 14638553.

It is an arithmetic number, because the mean of its divisors is an integer number (28313249874).

Almost surely, 2^{3249147882240} is an apocalyptic number.

3249147882240 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 3249147882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115661972784).

3249147882240 is an abundant number, since it is smaller than the sum of its proper divisors (8982176063328).

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

3249147882240 is a wasteful number, since it uses less digits than its factorization.

3249147882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223804 (or 223787 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 3249147882240 in words is "three trillion, two hundred forty-nine billion, one hundred forty-seven million, eight hundred eighty-two thousand, two hundred forty".