34077900636 has 96 divisors (see below), whose sum is σ = 95192166720. Its totient is φ = 10480451328.

The previous prime is 34077900589. The next prime is 34077900641. The reversal of 34077900636 is 63600977043.

34077900636 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 7 + 9 + 0 + 0 + 636 = 666.

It is a super-2 number, since 2×34077900636² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34077900591 and 34077900600.

It is a congruent number.

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, 3776466 + ... + 3785478.

It is an arithmetic number, because the mean of its divisors is an integer number (991585070).

Almost surely, 2^34077900636 is an apocalyptic number.

34077900636 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 34077900636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47596083360).

34077900636 is an abundant number, since it is smaller than the sum of its proper divisors (61114266084).

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

34077900636 is a wasteful number, since it uses less digits than its factorization.

34077900636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732 (or 11724 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 34077900636 in words is "thirty-four billion, seventy-seven million, nine hundred thousand, six hundred thirty-six".