34236686016 has 392 divisors, whose sum is σ = 112123752384. Its totient is φ = 10301644800.

The previous prime is 34236685997. The next prime is 34236686023. The reversal of 34236686016 is 61068663243.

34236686016 is a `hidden beast` number, since 3 + 4 + 2 + 36 + 6 + 8 + 601 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28506216 + ... + 28507416.

Almost surely, 2^34236686016 is an apocalyptic number.

34236686016 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 34236686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56061876192).

34236686016 is an abundant number, since it is smaller than the sum of its proper divisors (77887066368).

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

34236686016 is a wasteful number, since it uses less digits than its factorization.

34236686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34236686016 in words is "thirty-four billion, two hundred thirty-six million, six hundred eighty-six thousand, sixteen".