34316639165952 has 2560 divisors, whose sum is σ = 130386534727680. Its totient is φ = 8758886400000.

The previous prime is 34316639165923. The next prime is 34316639165989. The reversal of 34316639165952 is 25956193661343.

34316639165952 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 6 + 6 + 39 + 1 + 6 + 595 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 34316639165952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 136719677827 + ... + 136719678077.

It is an arithmetic number, because the mean of its divisors is an integer number (50932240128).

Almost surely, 2^{34316639165952} is an apocalyptic number.

34316639165952 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 34316639165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65193267363840).

34316639165952 is an abundant number, since it is smaller than the sum of its proper divisors (96069895561728).

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

34316639165952 is a wasteful number, since it uses less digits than its factorization.

34316639165952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 431 counting only the distinct ones).

The product of its digits is 94478400, while the sum is 63.

It can be divided in two parts, 343166391 and 65952, that added together give a palindrome (343232343).

The spelling of 34316639165952 in words is "thirty-four trillion, three hundred sixteen billion, six hundred thirty-nine million, one hundred sixty-five thousand, nine hundred fifty-two".