3239060340672 has 1008 divisors, whose sum is σ = 11280933780480. Its totient is φ = 881218584576.

The previous prime is 3239060340661. The next prime is 3239060340713. The reversal of 3239060340672 is 2760430609323.

3239060340672 is a `hidden beast` number, since 3 + 2 + 39 + 0 + 603 + 4 + 0 + 6 + 7 + 2 = 666.

3239060340672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3239060340672³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2936590873 + ... + 2936591975.

It is an arithmetic number, because the mean of its divisors is an integer number (11191402560).

Almost surely, 2^{3239060340672} is an apocalyptic number.

3239060340672 is a gapful number since it is divisible by the number (32) 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 3239060340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640466890240).

3239060340672 is an abundant number, since it is smaller than the sum of its proper divisors (8041873439808).

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

3239060340672 is a wasteful number, since it uses less digits than its factorization.

3239060340672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

Adding to 3239060340672 its reverse (2760430609323), we get a palindrome (5999490949995).

The spelling of 3239060340672 in words is "three trillion, two hundred thirty-nine billion, sixty million, three hundred forty thousand, six hundred seventy-two".