34106624 has 54 divisors (see below), whose sum is σ = 72477174. Its totient is φ = 16015360.

The previous prime is 34106617. The next prime is 34106627. The reversal of 34106624 is 42660143.

It can be written as a sum of positive squares in 3 ways, for example, as 10758400 + 23348224 = 3280^2 + 4832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34106593 and 34106602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106627) 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 5 ways as a sum of consecutive naturals, for example, 73754 + ... + 74214.

Almost surely, 2^34106624 is an apocalyptic number.

34106624 is a gapful number since it is divisible by the number (34) 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 34106624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36238587).

34106624 is an abundant number, since it is smaller than the sum of its proper divisors (38370550).

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

34106624 is an equidigital number, since it uses as much as digits as its factorization.

34106624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 34106624 is about 5840.0876705748. The cubic root of 34106624 is about 324.2994741641.

Adding to 34106624 its reverse (42660143), we get a palindrome (76766767).

It can be divided in two parts, 34 and 106624, that multiplied together give a square (3625216 = 1904²).

The spelling of 34106624 in words is "thirty-four million, one hundred six thousand, six hundred twenty-four".