34766661888 has 270 divisors, whose sum is σ = 120596790006. Its totient is φ = 9933041664.

The previous prime is 34766661841. The next prime is 34766661889. The reversal of 34766661888 is 88816666743.

It can be written as a sum of positive squares in only one way, i.e., 34399862784 + 366799104 = 185472^2 + 19152^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34766661889) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 998956 + ... + 1033172.

Almost surely, 2^34766661888 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 34766661888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60298395003).

34766661888 is an abundant number, since it is smaller than the sum of its proper divisors (85830128118).

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

34766661888 is an equidigital number, since it uses as much as digits as its factorization.

34766661888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34259 (or 34229 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 34766661888 in words is "thirty-four billion, seven hundred sixty-six million, six hundred sixty-one thousand, eight hundred eighty-eight".