34848128 has 128 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 13381632.

The previous prime is 34848097. The next prime is 34848139. The reversal of 34848128 is 82184843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 34848091 and 34848100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391508 + ... + 391596.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^34848128 is an apocalyptic number.

34848128 is a gapful number since it is divisible by the number (38) 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 34848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

34848128 is an abundant number, since it is smaller than the sum of its proper divisors (53279872).

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

34848128 is a wasteful number, since it uses less digits than its factorization.

34848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 49152, while the sum is 38.

The square root of 34848128 is about 5903.2303021312. The cubic root of 34848128 is about 326.6328180023.

It can be divided in two parts, 34848 and 128, that multiplied together give a square (4460544 = 2112²).

The spelling of 34848128 in words is "thirty-four million, eight hundred forty-eight thousand, one hundred twenty-eight".