34938048 has 56 divisors (see below), whose sum is σ = 92911168. Its totient is φ = 11586816.

The previous prime is 34938031. The next prime is 34938053. The reversal of 34938048 is 84083943.

It is a junction number, because it is equal to n+sod(n) for n = 34937997 and 34938015.

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, 54015 + ... + 54657.

It is an arithmetic number, because the mean of its divisors is an integer number (1659128).

Almost surely, 2^34938048 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 34938048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46455584).

34938048 is an abundant number, since it is smaller than the sum of its proper divisors (57973120).

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

34938048 is a wasteful number, since it uses less digits than its factorization.

34938048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 34938048 is about 5910.8415644475. The cubic root of 34938048 is about 326.9135178907.

The spelling of 34938048 in words is "thirty-four million, nine hundred thirty-eight thousand, forty-eight".