3234284544240 has 240 divisors, whose sum is σ = 11032354884096. Its totient is φ = 848972275200.

The previous prime is 3234284544229. The next prime is 3234284544263. The reversal of 3234284544240 is 424454824323.

3234284544240 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 2 + 84 + 544 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32206587 + ... + 32306853.

Almost surely, 2^{3234284544240} is an apocalyptic number.

3234284544240 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 3234284544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516177442048).

3234284544240 is an abundant number, since it is smaller than the sum of its proper divisors (7798070339856).

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

3234284544240 is a wasteful number, since it uses less digits than its factorization.

3234284544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100988 (or 100979 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 3234284544240 in words is "three trillion, two hundred thirty-four billion, two hundred eighty-four million, five hundred forty-four thousand, two hundred forty".