34412448 has 96 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 9584640.

The previous prime is 34412429. The next prime is 34412453. The reversal of 34412448 is 84421443.

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

It is a nude number because it is divisible by every one of its digits.

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, 26928 + ... + 28176.

It is an arithmetic number, because the mean of its divisors is an integer number (1102500).

Almost surely, 2^34412448 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 34412448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920000).

34412448 is an abundant number, since it is smaller than the sum of its proper divisors (71427552).

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

34412448 is a wasteful number, since it uses less digits than its factorization.

34412448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 34412448 is about 5866.2124066556. The cubic root of 34412448 is about 325.2658904959.

The spelling of 34412448 in words is "thirty-four million, four hundred twelve thousand, four hundred forty-eight".