34868348928 has 288 divisors, whose sum is σ = 117287352000. Its totient is φ = 9772498944.

The previous prime is 34868348891. The next prime is 34868348929. The reversal of 34868348928 is 82984386843.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34868348929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6835723 + ... + 6840821.

It is an arithmetic number, because the mean of its divisors is an integer number (407247750).

Almost surely, 2^34868348928 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 34868348928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58643676000).

34868348928 is an abundant number, since it is smaller than the sum of its proper divisors (82419003072).

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

34868348928 is a wasteful number, since it uses less digits than its factorization.

34868348928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187 (or 5164 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 34868348928 in words is "thirty-four billion, eight hundred sixty-eight million, three hundred forty-eight thousand, nine hundred twenty-eight".