34630848 has 168 divisors, whose sum is σ = 118719600. Its totient is φ = 9870336.

The previous prime is 34630831. The next prime is 34630913. The reversal of 34630848 is 84803643.

34630848 is a `hidden beast` number, since 346 + 308 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84468 + ... + 84876.

Almost surely, 2^34630848 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 34630848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59359800).

34630848 is an abundant number, since it is smaller than the sum of its proper divisors (84088752).

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

34630848 is a wasteful number, since it uses less digits than its factorization.

34630848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34630848 is about 5884.7980424140. The cubic root of 34630848 is about 325.9525443111.

The spelling of 34630848 in words is "thirty-four million, six hundred thirty thousand, eight hundred forty-eight".