34288942848 has 72 divisors (see below), whose sum is σ = 91419584256. Its totient is φ = 11409484800.

The previous prime is 34288942843. The next prime is 34288942867. The reversal of 34288942848 is 84824988243.

It is a super-2 number, since 2×34288942848² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34288942791 and 34288942800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34288942843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399433 + ... + 477623.

It is an arithmetic number, because the mean of its divisors is an integer number (1269716448).

Almost surely, 2^34288942848 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 34288942848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45709792128).

34288942848 is an abundant number, since it is smaller than the sum of its proper divisors (57130641408).

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

34288942848 is an equidigital number, since it uses as much as digits as its factorization.

34288942848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78781 (or 78767 counting only the distinct ones).

The product of its digits is 28311552, while the sum is 60.

The spelling of 34288942848 in words is "thirty-four billion, two hundred eighty-eight million, nine hundred forty-two thousand, eight hundred forty-eight".