34168580352 has 144 divisors (see below), whose sum is σ = 101782860480. Its totient is φ = 11306078208.

The previous prime is 34168580351. The next prime is 34168580353. The reversal of 34168580352 is 25308586143.

34168580352 is a `hidden beast` number, since 3 + 4 + 1 + 68 + 580 + 3 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34168580351) and next prime (34168580353).

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 34168580298 and 34168580307.

It is not an unprimeable number, because it can be changed into a prime (34168580351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928903 + ... + 964985.

It is an arithmetic number, because the mean of its divisors is an integer number (706825420).

Almost surely, 2^34168580352 is an apocalyptic number.

34168580352 is a gapful number since it is divisible by the number (32) 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 34168580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50891430240).

34168580352 is an abundant number, since it is smaller than the sum of its proper divisors (67614280128).

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

34168580352 is a wasteful number, since it uses less digits than its factorization.

34168580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36245 (or 36225 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 34168580352 in words is "thirty-four billion, one hundred sixty-eight million, five hundred eighty thousand, three hundred fifty-two".