34195827356352 has 336 divisors, whose sum is σ = 106021651507200. Its totient is φ = 10496704536576.

The previous prime is 34195827356351. The next prime is 34195827356413. The reversal of 34195827356352 is 25365372859143.

34195827356352 is a `hidden beast` number, since 3 + 4 + 1 + 9 + 5 + 8 + 273 + 5 + 6 + 352 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34195827356352.

It is not an unprimeable number, because it can be changed into a prime (34195827356351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1886449113 + ... + 1886467239.

Almost surely, 2^{34195827356352} is an apocalyptic number.

34195827356352 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 34195827356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53010825753600).

34195827356352 is an abundant number, since it is smaller than the sum of its proper divisors (71825824150848).

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

34195827356352 is a wasteful number, since it uses less digits than its factorization.

34195827356352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22308 (or 22295 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 63.

The spelling of 34195827356352 in words is "thirty-four trillion, one hundred ninety-five billion, eight hundred twenty-seven million, three hundred fifty-six thousand, three hundred fifty-two".