34416648 has 96 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 9402624.

The previous prime is 34416617. The next prime is 34416661. The reversal of 34416648 is 84661443.

34416648 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 6 + 648 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10108 + ... + 13076.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 2^34416648 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 34416648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

34416648 is an abundant number, since it is smaller than the sum of its proper divisors (76780152).

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

34416648 is a wasteful number, since it uses less digits than its factorization.

34416648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011 (or 3004 counting only the distinct ones).

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

The square root of 34416648 is about 5866.5703779977. The cubic root of 34416648 is about 325.2791227345.

The spelling of 34416648 in words is "thirty-four million, four hundred sixteen thousand, six hundred forty-eight".