34806048 has 96 divisors (see below), whose sum is σ = 96526080. Its totient is φ = 10967040.

The previous prime is 34806029. The next prime is 34806053. The reversal of 34806048 is 84060843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34806048² = 2422921954756608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145513 + ... + 145751.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 2^34806048 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 34806048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48263040).

34806048 is an abundant number, since it is smaller than the sum of its proper divisors (61720032).

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

34806048 is a wasteful number, since it uses less digits than its factorization.

34806048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34806048 is about 5899.6650752394. The cubic root of 34806048 is about 326.5012925724.

The spelling of 34806048 in words is "thirty-four million, eight hundred six thousand, forty-eight".