34845273848 has 128 divisors (see below), whose sum is σ = 83653516800. Its totient is φ = 13211596800.

The previous prime is 34845273833. The next prime is 34845273913. The reversal of 34845273848 is 84837254843.

34845273848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34845273848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 34845273793 and 34845273802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11540483 + ... + 11543501.

It is an arithmetic number, because the mean of its divisors is an integer number (653543100).

Almost surely, 2^34845273848 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 34845273848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41826758400).

34845273848 is an abundant number, since it is smaller than the sum of its proper divisors (48808242952).

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

34845273848 is a wasteful number, since it uses less digits than its factorization.

34845273848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3537 counting only the distinct ones).

The product of its digits is 20643840, while the sum is 56.

The spelling of 34845273848 in words is "thirty-four billion, eight hundred forty-five million, two hundred seventy-three thousand, eight hundred forty-eight".