3239193968640 has 1152 divisors, whose sum is σ = 13202494456320. Its totient is φ = 732476473344.

The previous prime is 3239193968639. The next prime is 3239193968683. The reversal of 3239193968640 is 468693919323.

3239193968640 is a `hidden beast` number, since 3 + 239 + 1 + 9 + 396 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9176186704 + ... + 9176187056.

It is an arithmetic number, because the mean of its divisors is an integer number (11460498660).

Almost surely, 2^{3239193968640} is an apocalyptic number.

3239193968640 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 3239193968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601247228160).

3239193968640 is an abundant number, since it is smaller than the sum of its proper divisors (9963300487680).

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

3239193968640 is a wasteful number, since it uses less digits than its factorization.

3239193968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 63.

The spelling of 3239193968640 in words is "three trillion, two hundred thirty-nine billion, one hundred ninety-three million, nine hundred sixty-eight thousand, six hundred forty".