34866662376 has 256 divisors, whose sum is σ = 109226557440. Its totient is φ = 9030113280.

The previous prime is 34866662353. The next prime is 34866662377. The reversal of 34866662376 is 67326666843.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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 (34866662377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61062171 + ... + 61062741.

It is an arithmetic number, because the mean of its divisors is an integer number (426666240).

Almost surely, 2^34866662376 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 34866662376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54613278720).

34866662376 is an abundant number, since it is smaller than the sum of its proper divisors (74359895064).

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

34866662376 is a wasteful number, since it uses less digits than its factorization.

34866662376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1052 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 57.

The spelling of 34866662376 in words is "thirty-four billion, eight hundred sixty-six million, six hundred sixty-two thousand, three hundred seventy-six".