34888419328 has 96 divisors (see below), whose sum is σ = 79901640000. Its totient is φ = 14919155712.

The previous prime is 34888419317. The next prime is 34888419341. The reversal of 34888419328 is 82391488843.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7151226 + ... + 7156102.

It is an arithmetic number, because the mean of its divisors is an integer number (832308750).

Almost surely, 2^34888419328 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 34888419328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39950820000).

34888419328 is an abundant number, since it is smaller than the sum of its proper divisors (45013220672).

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

34888419328 is an equidigital number, since it uses as much as digits as its factorization.

34888419328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5405 (or 5385 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 58.

The spelling of 34888419328 in words is "thirty-four billion, eight hundred eighty-eight million, four hundred nineteen thousand, three hundred twenty-eight".