34128000 has 256 divisors, whose sum is σ = 127296000. Its totient is φ = 8985600.

The previous prime is 34127999. The next prime is 34128007. The reversal of 34128000 is 82143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34128007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431961 + ... + 432039.

It is an arithmetic number, because the mean of its divisors is an integer number (497250).

Almost surely, 2^34128000 is an apocalyptic number.

34128000 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 34128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63648000).

34128000 is an abundant number, since it is smaller than the sum of its proper divisors (93168000).

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

34128000 is an equidigital number, since it uses as much as digits as its factorization.

34128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 34128000 is about 5841.9174934263. The cubic root of 34128000 is about 324.3672105450.

The spelling of 34128000 in words is "thirty-four million, one hundred twenty-eight thousand".