34638216 has 64 divisors (see below), whose sum is σ = 93662400. Its totient is φ = 10637568.

The previous prime is 34638211. The next prime is 34638217. The reversal of 34638216 is 61283643.

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

It is not an unprimeable number, because it can be changed into a prime (34638211) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15846 + ... + 17898.

It is an arithmetic number, because the mean of its divisors is an integer number (1463475).

Almost surely, 2^34638216 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 34638216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46831200).

34638216 is an abundant number, since it is smaller than the sum of its proper divisors (59024184).

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

34638216 is a wasteful number, since it uses less digits than its factorization.

34638216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2114 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 34638216 is about 5885.4240289039. The cubic root of 34638216 is about 325.9756590405.

The spelling of 34638216 in words is "thirty-four million, six hundred thirty-eight thousand, two hundred sixteen".