34255061136 has 160 divisors (see below), whose sum is σ = 102868416000. Its totient is φ = 10902574080.

The previous prime is 34255061117. The next prime is 34255061143. The reversal of 34255061136 is 63116055243.

34255061136 is a `hidden beast` number, since 3 + 4 + 2 + 5 + 5 + 0 + 611 + 36 = 666.

It is a super-2 number, since 2×34255061136² (a number of 22 digits) contains 22 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 34255061136.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 811890 + ... + 853038.

It is an arithmetic number, because the mean of its divisors is an integer number (642927600).

Almost surely, 2^34255061136 is an apocalyptic number.

34255061136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34255061136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51434208000).

34255061136 is an abundant number, since it is smaller than the sum of its proper divisors (68613354864).

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

34255061136 is a wasteful number, since it uses less digits than its factorization.

34255061136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41254 (or 41242 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 34255061136 in words is "thirty-four billion, two hundred fifty-five million, sixty-one thousand, one hundred thirty-six".