34664124 has 48 divisors (see below), whose sum is σ = 88623360. Its totient is φ = 10458240.

The previous prime is 34664101. The next prime is 34664129. The reversal of 34664124 is 42146643.

34664124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 34664091 and 34664100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34664129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40897 + ... + 41735.

It is an arithmetic number, because the mean of its divisors is an integer number (1846320).

Almost surely, 2^34664124 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 34664124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44311680).

34664124 is an abundant number, since it is smaller than the sum of its proper divisors (53959236).

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

34664124 is a wasteful number, since it uses less digits than its factorization.

34664124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 34664124 is about 5887.6246483620. The cubic root of 34664124 is about 326.0569110373.

The spelling of 34664124 in words is "thirty-four million, six hundred sixty-four thousand, one hundred twenty-four".