34779886377312 has 384 divisors, whose sum is σ = 99155334297600. Its totient is φ = 10639477702656.

The previous prime is 34779886377289. The next prime is 34779886377319. The reversal of 34779886377312 is 21377368897743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34779886377319) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4145887614 + ... + 4145896002.

It is an arithmetic number, because the mean of its divisors is an integer number (258217016400).

Almost surely, 2^{34779886377312} is an apocalyptic number.

34779886377312 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 34779886377312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49577667148800).

34779886377312 is an abundant number, since it is smaller than the sum of its proper divisors (64375447920288).

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

34779886377312 is a wasteful number, since it uses less digits than its factorization.

34779886377312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958 (or 8950 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 75.

The spelling of 34779886377312 in words is "thirty-four trillion, seven hundred seventy-nine billion, eight hundred eighty-six million, three hundred seventy-seven thousand, three hundred twelve".