34277068682736 has 320 divisors, whose sum is σ = 106748146252800. Its totient is φ = 9349211013120.

The previous prime is 34277068682707. The next prime is 34277068682743. The reversal of 34277068682736 is 63728686077243.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1434595206 + ... + 1434619098.

It is an arithmetic number, because the mean of its divisors is an integer number (333587957040).

Almost surely, 2^{34277068682736} 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 34277068682736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53374073126400).

34277068682736 is an abundant number, since it is smaller than the sum of its proper divisors (72471077570064).

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

34277068682736 is a wasteful number, since it uses less digits than its factorization.

34277068682736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30904 (or 30898 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 69.

The spelling of 34277068682736 in words is "thirty-four trillion, two hundred seventy-seven billion, sixty-eight million, six hundred eighty-two thousand, seven hundred thirty-six".