34139829938760 has 2592 divisors, whose sum is σ = 151661389314240. Its totient is φ = 6879861660672.

The previous prime is 34139829938701. The next prime is 34139829938821. The reversal of 34139829938760 is 6783992893143.

34139829938760 is a `hidden beast` number, since 3 + 4 + 13 + 98 + 2 + 99 + 387 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 49985109379 + ... + 49985110061.

It is an arithmetic number, because the mean of its divisors is an integer number (58511338470).

Almost surely, 2^{34139829938760} is an apocalyptic number.

34139829938760 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 34139829938760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75830694657120).

34139829938760 is an abundant number, since it is smaller than the sum of its proper divisors (117521559375480).

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

34139829938760 is a wasteful number, since it uses less digits than its factorization.

34139829938760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 34139829938760 in words is "thirty-four trillion, one hundred thirty-nine billion, eight hundred twenty-nine million, nine hundred thirty-eight thousand, seven hundred sixty".