34011648 has 180 divisors, whose sum is σ = 109663554. Its totient is φ = 10137600.

The previous prime is 34011647. The next prime is 34011683. The reversal of 34011648 is 84611043.

34011648 is a `hidden beast` number, since 3 + 4 + 0 + 11 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 278784 = 5808^2 + 528^2 .

It is not an unprimeable number, because it can be changed into a prime (34011643) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 557538 + ... + 557598.

Almost surely, 2^34011648 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 34011648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54831777).

34011648 is an abundant number, since it is smaller than the sum of its proper divisors (75651906).

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

34011648 is a wasteful number, since it uses less digits than its factorization.

34011648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 34011648 is about 5831.9506170749. The cubic root of 34011648 is about 323.9981710002.

The spelling of 34011648 in words is "thirty-four million, eleven thousand, six hundred forty-eight".