34719048 has 144 divisors (see below), whose sum is σ = 117952380. Its totient is φ = 9144576.

The previous prime is 34719031. The next prime is 34719059. The reversal of 34719048 is 84091743.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 34082244 + 636804 = 5838^2 + 798^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45486 + ... + 46242.

Almost surely, 2^34719048 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 34719048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58976190).

34719048 is an abundant number, since it is smaller than the sum of its proper divisors (83233332).

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

34719048 is a wasteful number, since it uses less digits than its factorization.

34719048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 34719048 is about 5892.2871620450. The cubic root of 34719048 is about 326.2290284666.

The spelling of 34719048 in words is "thirty-four million, seven hundred nineteen thousand, forty-eight".