34644096 has 192 divisors, whose sum is σ = 110986200. Its totient is φ = 10321920.

The previous prime is 34644089. The next prime is 34644097. The reversal of 34644096 is 69044643.

34644096 is a `hidden beast` number, since 3 + 4 + 644 + 0 + 9 + 6 = 666.

34644096 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 4 ways, for example, as 25644096 + 9000000 = 5064^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 34644096.

It is not an unprimeable number, because it can be changed into a prime (34644097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567906 + ... + 567966.

Almost surely, 2^34644096 is an apocalyptic number.

34644096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34644096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55493100).

34644096 is an abundant number, since it is smaller than the sum of its proper divisors (76342104).

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

34644096 is a wasteful number, since it uses less digits than its factorization.

34644096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34644096 is about 5885.9235469041. The cubic root of 34644096 is about 325.9941032971.

The spelling of 34644096 in words is "thirty-four million, six hundred forty-four thousand, ninety-six".