34936856481072 has 320 divisors, whose sum is σ = 111857320673280. Its totient is φ = 9149888259072.

The previous prime is 34936856481071. The next prime is 34936856481101. The reversal of 34936856481072 is 27018465863943.

It is a super-2 number, since 2×34936856481072² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34936856480994 and 34936856481012.

It is not an unprimeable number, because it can be changed into a prime (34936856481071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 568390213 + ... + 568451675.

It is an arithmetic number, because the mean of its divisors is an integer number (349554127104).

It is a 1-persistent number, because it is pandigital, but 2⋅34936856481072 = 69873712962144 is not.

Almost surely, 2^{34936856481072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34936856481072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55928660336640).

34936856481072 is an abundant number, since it is smaller than the sum of its proper divisors (76920464192208).

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

34936856481072 is a wasteful number, since it uses less digits than its factorization.

34936856481072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62400 (or 62394 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 66.

The spelling of 34936856481072 in words is "thirty-four trillion, nine hundred thirty-six billion, eight hundred fifty-six million, four hundred eighty-one thousand, seventy-two".