34796160000000 has 1344 divisors, whose sum is σ = 143760456972288. Its totient is φ = 7944192000000.

The previous prime is 34796159999981. The next prime is 34796160000013. The reversal of 34796160000000 is 6169743.

34796160000000 is a `hidden beast` number, since 3 + 47 + 9 + 6 + 1 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34796160000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40319999569 + ... + 40320000431.

Almost surely, 2^{34796160000000} is an apocalyptic number.

34796160000000 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 34796160000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71880228486144).

34796160000000 is an abundant number, since it is smaller than the sum of its proper divisors (108964296972288).

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

34796160000000 is an frugal number, since it uses more digits than its factorization.

34796160000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Adding to 34796160000000 its reverse (6169743), we get a palindrome (34796166169743).

The spelling of 34796160000000 in words is "thirty-four trillion, seven hundred ninety-six billion, one hundred sixty million", and thus it is an aban number.