34273629 has 24 divisors (see below), whose sum is σ = 53514552. Its totient is φ = 21012480.

The previous prime is 34273609. The next prime is 34273637. The reversal of 34273629 is 92637243.

It is a happy number.

34273629 is a `hidden beast` number, since 3 + 4 + 27 + 3 + 629 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12089529 + 22184100 = 3477^2 + 4710^2 .

It is not a de Polignac number, because 34273629 - 2⁷ = 34273501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34273593 and 34273602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34273609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53149 + ... + 53789.

It is an arithmetic number, because the mean of its divisors is an integer number (2229773).

Almost surely, 2^34273629 is an apocalyptic number.

34273629 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

34273629 is a deficient number, since it is larger than the sum of its proper divisors (19240923).

34273629 is a wasteful number, since it uses less digits than its factorization.

34273629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1114 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 34273629 is about 5854.3683690045. The cubic root of 34273629 is about 324.8279294265.

It can be divided in two parts, 3427 and 3629, that added together give a square (7056 = 84²).

The spelling of 34273629 in words is "thirty-four million, two hundred seventy-three thousand, six hundred twenty-nine".