34036613136 has 60 divisors (see below), whose sum is σ = 97578559260. Its totient is φ = 11068815360.

The previous prime is 34036613123. The next prime is 34036613137. The reversal of 34036613136 is 63131663043.

34036613136 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 6 + 613 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8230118400 + 25806494736 = 90720^2 + 160644^2 .

It is a super-3 number, since 3×34036613136³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34036613136.

It is not an unprimeable number, because it can be changed into a prime (34036613137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2876601 + ... + 2888408.

It is an arithmetic number, because the mean of its divisors is an integer number (1626309321).

Almost surely, 2^34036613136 is an apocalyptic number.

34036613136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34036613136 is an abundant number, since it is smaller than the sum of its proper divisors (63541946124).

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

34036613136 is a wasteful number, since it uses less digits than its factorization.

34036613136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765064 (or 5765055 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 34036613136 in words is "thirty-four billion, thirty-six million, six hundred thirteen thousand, one hundred thirty-six".