39342697512084 has 168 divisors, whose sum is σ = 106817356652160. Its totient is φ = 12658409047872.

The previous prime is 39342697512061. The next prime is 39342697512091. The reversal of 39342697512084 is 48021579624393.

39342697512084 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 26 + 97 + 512 + 0 + 8 + 4 = 666.

39342697512084 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 304957857 + ... + 305086839.

It is an arithmetic number, because the mean of its divisors is an integer number (635817599120).

It is a 2-persistent number, because it is pandigital, and so is 2⋅39342697512084 = 78685395024168, but 3⋅39342697512084 = 118028092536252 is not.

Almost surely, 2^{39342697512084} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39342697512084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53408678326080).

39342697512084 is an abundant number, since it is smaller than the sum of its proper divisors (67474659140076).

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

39342697512084 is a wasteful number, since it uses less digits than its factorization.

39342697512084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132641 (or 132624 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 39342697512084 in words is "thirty-nine trillion, three hundred forty-two billion, six hundred ninety-seven million, five hundred twelve thousand, eighty-four".