34269371136 has 1080 divisors, whose sum is σ = 139039617024. Its totient is φ = 8151736320.

The previous prime is 34269371119. The next prime is 34269371159. The reversal of 34269371136 is 63117396243.

34269371136 is a `hidden beast` number, since 3 + 4 + 269 + 371 + 13 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34269371091 and 34269371100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 269837505 + ... + 269837631.

Almost surely, 2^34269371136 is an apocalyptic number.

34269371136 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 34269371136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69519808512).

34269371136 is an abundant number, since it is smaller than the sum of its proper divisors (104770245888).

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

34269371136 is a wasteful number, since it uses less digits than its factorization.

34269371136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 163 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The spelling of 34269371136 in words is "thirty-four billion, two hundred sixty-nine million, three hundred seventy-one thousand, one hundred thirty-six".