34088363316 has 216 divisors, whose sum is σ = 104627806920. Its totient is φ = 9318887424.

The previous prime is 34088363279. The next prime is 34088363327. The reversal of 34088363316 is 61336388043.

34088363316 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 8 + 3 + 633 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3531924900 + 30556438416 = 59430^2 + 174804^2 .

It is a super-2 number, since 2×34088363316² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5777680 + ... + 5783576.

It is an arithmetic number, because the mean of its divisors is an integer number (484387995).

Almost surely, 2^34088363316 is an apocalyptic number.

34088363316 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 34088363316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52313903460).

34088363316 is an abundant number, since it is smaller than the sum of its proper divisors (70539443604).

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

34088363316 is a wasteful number, since it uses less digits than its factorization.

34088363316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6063 (or 6051 counting only the distinct ones).

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

The spelling of 34088363316 in words is "thirty-four billion, eighty-eight million, three hundred sixty-three thousand, three hundred sixteen".