34866526464 has 864 divisors, whose sum is σ = 134994263040. Its totient is φ = 8709120000.

The previous prime is 34866526463. The next prime is 34866526477. The reversal of 34866526464 is 46462566843.

34866526464 is a `hidden beast` number, since 34 + 86 + 6 + 526 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34866526464.

It is not an unprimeable number, because it can be changed into a prime (34866526463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138910339 + ... + 138910589.

It is an arithmetic number, because the mean of its divisors is an integer number (156243360).

Almost surely, 2^34866526464 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 34866526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67497131520).

34866526464 is an abundant number, since it is smaller than the sum of its proper divisors (100127736576).

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

34866526464 is a wasteful number, since it uses less digits than its factorization.

34866526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 303 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 34866526464 in words is "thirty-four billion, eight hundred sixty-six million, five hundred twenty-six thousand, four hundred sixty-four".