34128001152 has 384 divisors, whose sum is σ = 116151235200. Its totient is φ = 9415802880.

The previous prime is 34128001129. The next prime is 34128001157. The reversal of 34128001152 is 25110082143.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (34128001157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36037543 + ... + 36038489.

It is an arithmetic number, because the mean of its divisors is an integer number (302477175).

Almost surely, 2^34128001152 is an apocalyptic number.

34128001152 is a gapful number since it is divisible by the number (32) 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 34128001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58075617600).

34128001152 is an abundant number, since it is smaller than the sum of its proper divisors (82023234048).

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

34128001152 is a wasteful number, since it uses less digits than its factorization.

34128001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 34128001152 its reverse (25110082143), we get a palindrome (59238083295).

The spelling of 34128001152 in words is "thirty-four billion, one hundred twenty-eight million, one thousand, one hundred fifty-two".