34848000000 has 756 divisors, whose sum is σ = 138284460405. Its totient is φ = 8448000000.

The previous prime is 34847999987. The next prime is 34848000013. The reversal of 34848000000 is 84843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (34847999987) and next prime (34848000013).

It can be written as a sum of positive squares in 4 ways, for example, as 5942559744 + 28905440256 = 77088^2 + 170016^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=132000.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3167999995 + ... + 3168000005.

Almost surely, 2^34848000000 is an apocalyptic number.

34848000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34848000000

34848000000 is an abundant number, since it is smaller than the sum of its proper divisors (103436460405).

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

34848000000 is an frugal number, since it uses more digits than its factorization.

34848000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 34848000000 its reverse (84843), we get a palindrome (34848084843).

The spelling of 34848000000 in words is "thirty-four billion, eight hundred forty-eight million", and thus it is an aban number.