34627360768 has 576 divisors, whose sum is σ = 100387123200. Its totient is φ = 11705057280.

The previous prime is 34627360763. The next prime is 34627360777. The reversal of 34627360768 is 86706372643.

It is a super-2 number, since 2×34627360768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34627360763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272656321 + ... + 272656447.

It is an arithmetic number, because the mean of its divisors is an integer number (174283200).

Almost surely, 2^34627360768 is an apocalyptic number.

34627360768 is a gapful number since it is divisible by the number (38) 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 34627360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50193561600).

34627360768 is an abundant number, since it is smaller than the sum of its proper divisors (65759762432).

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

34627360768 is a wasteful number, since it uses less digits than its factorization.

34627360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 52.

The spelling of 34627360768 in words is "thirty-four billion, six hundred twenty-seven million, three hundred sixty thousand, seven hundred sixty-eight".