34365689856 has 364 divisors, whose sum is σ = 109259519652. Its totient is φ = 10765467648.

The previous prime is 34365689851. The next prime is 34365689863. The reversal of 34365689856 is 65898656343.

34365689856 is a `hidden beast` number, since 3 + 436 + 5 + 68 + 98 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31678304256 + 2687385600 = 177984^2 + 51840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34365689793 and 34365689802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34365689851) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 50761390 + ... + 50762066.

Almost surely, 2^34365689856 is an apocalyptic number.

34365689856 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 34365689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54629759826).

34365689856 is an abundant number, since it is smaller than the sum of its proper divisors (74893829796).

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

34365689856 is an frugal number, since it uses more digits than its factorization.

34365689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 699 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 34365689856 in words is "thirty-four billion, three hundred sixty-five million, six hundred eighty-nine thousand, eight hundred fifty-six".