34540889256 has 72 divisors (see below), whose sum is σ = 93791800830. Its totient is φ = 11483709696.

The previous prime is 34540889213. The next prime is 34540889293. The reversal of 34540889256 is 65298804543.

34540889256 is a `hidden beast` number, since 3 + 4 + 540 + 8 + 8 + 92 + 5 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 30298972356 + 4241916900 = 174066^2 + 65130^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×34540889256³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 42695380 + ... + 42696188.

Almost surely, 2^34540889256 is an apocalyptic number.

34540889256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34540889256 is an abundant number, since it is smaller than the sum of its proper divisors (59250911574).

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

34540889256 is an equidigital number, since it uses as much as digits as its factorization.

34540889256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 34540889256 in words is "thirty-four billion, five hundred forty million, eight hundred eighty-nine thousand, two hundred fifty-six".