34577267092064 has 96 divisors (see below), whose sum is σ = 70424767163520. Its totient is φ = 16702794381312.

The previous prime is 34577267092061. The next prime is 34577267092111. The reversal of 34577267092064 is 46029076277543.

It is a junction number, because it is equal to n+sod(n) for n = 34577267091988 and 34577267092006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34577267092061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49630094 + ... + 50321970.

It is an arithmetic number, because the mean of its divisors is an integer number (733591324620).

Almost surely, 2^{34577267092064} 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 34577267092064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35212383581760).

34577267092064 is an abundant number, since it is smaller than the sum of its proper divisors (35847500071456).

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

34577267092064 is a wasteful number, since it uses less digits than its factorization.

34577267092064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692392 (or 692384 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 62.

The spelling of 34577267092064 in words is "thirty-four trillion, five hundred seventy-seven billion, two hundred sixty-seven million, ninety-two thousand, sixty-four".