34861137696 has 864 divisors, whose sum is σ = 132734085120. Its totient is φ = 8806786560.

The previous prime is 34861137677. The next prime is 34861137709. The reversal of 34861137696 is 69673116843.

It is a happy number.

34861137696 is a `hidden beast` number, since 3 + 486 + 1 + 1 + 3 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441280185 + ... + 441280263.

Almost surely, 2^34861137696 is an apocalyptic number.

34861137696 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 34861137696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66367042560).

34861137696 is an abundant number, since it is smaller than the sum of its proper divisors (97872947424).

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

34861137696 is a wasteful number, since it uses less digits than its factorization.

34861137696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 169 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 34861137696 in words is "thirty-four billion, eight hundred sixty-one million, one hundred thirty-seven thousand, six hundred ninety-six".