34047648 has 96 divisors (see below), whose sum is σ = 100336320. Its totient is φ = 11232000.

The previous prime is 34047623. The next prime is 34047649. The reversal of 34047648 is 84674043.

34047648 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 7 + 648 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (34047649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135523 + ... + 135773.

It is an arithmetic number, because the mean of its divisors is an integer number (1045170).

Almost surely, 2^34047648 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 34047648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50168160).

34047648 is an abundant number, since it is smaller than the sum of its proper divisors (66288672).

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

34047648 is a wasteful number, since it uses less digits than its factorization.

34047648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34047648 is about 5835.0362466741. The cubic root of 34047648 is about 324.1124438252.

The spelling of 34047648 in words is "thirty-four million, forty-seven thousand, six hundred forty-eight".