3240239431680 has 288 divisors, whose sum is σ = 11520870278400. Its totient is φ = 864059129856.

The previous prime is 3240239431679. The next prime is 3240239431799. The reversal of 3240239431680 is 861349320423.

3240239431680 is a `hidden beast` number, since 3 + 24 + 0 + 239 + 4 + 316 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3240239431680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17603161 + ... + 17786279.

It is an arithmetic number, because the mean of its divisors is an integer number (40003021800).

Almost surely, 2^{3240239431680} is an apocalyptic number.

3240239431680 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 3240239431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760435139200).

3240239431680 is an abundant number, since it is smaller than the sum of its proper divisors (8280630846720).

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

3240239431680 is an frugal number, since it uses more digits than its factorization.

3240239431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183167 (or 183129 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3240239431680 in words is "three trillion, two hundred forty billion, two hundred thirty-nine million, four hundred thirty-one thousand, six hundred eighty".