34161111360 has 336 divisors, whose sum is σ = 121786503696. Its totient is φ = 8781889536.

The previous prime is 34161111301. The next prime is 34161111407. The reversal of 34161111360 is 6311116143.

34161111360 is a `hidden beast` number, since 3 + 4 + 1 + 611 + 11 + 36 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6983610624 + 27177500736 = 83568^2 + 164856^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12039862 + ... + 12042698.

Almost surely, 2^34161111360 is an apocalyptic number.

34161111360 is a gapful number since it is divisible by the number (30) 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 34161111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60893251848).

34161111360 is an abundant number, since it is smaller than the sum of its proper divisors (87625392336).

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

34161111360 is a wasteful number, since it uses less digits than its factorization.

34161111360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 34161111360 in words is "thirty-four billion, one hundred sixty-one million, one hundred eleven thousand, three hundred sixty".