39343008768 has 176 divisors, whose sum is σ = 126152843520. Its totient is φ = 10649124864.

The previous prime is 39343008767. The next prime is 39343008781. The reversal of 39343008768 is 86780034393.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 39343008768.

It is not an unprimeable number, because it can be changed into a prime (39343008767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360430 + ... + 456722.

It is an arithmetic number, because the mean of its divisors is an integer number (716777520).

Almost surely, 2^39343008768 is an apocalyptic number.

39343008768 is a gapful number since it is divisible by the number (38) 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 39343008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63076421760).

39343008768 is an abundant number, since it is smaller than the sum of its proper divisors (86809834752).

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

39343008768 is a wasteful number, since it uses less digits than its factorization.

39343008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96342 (or 96324 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 39343008768 in words is "thirty-nine billion, three hundred forty-three million, eight thousand, seven hundred sixty-eight".