34585211996160 has 768 divisors, whose sum is σ = 128085515550720. Its totient is φ = 7803513077760.

The previous prime is 34585211996141. The next prime is 34585211996171. The reversal of 34585211996160 is 6169911258543.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×34585211996160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 34585211996094 and 34585211996103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8990175357 + ... + 8990179203.

It is an arithmetic number, because the mean of its divisors is an integer number (166778015040).

Almost surely, 2^{34585211996160} is an apocalyptic number.

34585211996160 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 34585211996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64042757775360).

34585211996160 is an abundant number, since it is smaller than the sum of its proper divisors (93500303554560).

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

34585211996160 is a wasteful number, since it uses less digits than its factorization.

34585211996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 60.

The spelling of 34585211996160 in words is "thirty-four trillion, five hundred eighty-five billion, two hundred eleven million, nine hundred ninety-six thousand, one hundred sixty".