34628847 has 24 divisors (see below), whose sum is σ = 53521152. Its totient is φ = 19747200.

The previous prime is 34628837. The next prime is 34628863. The reversal of 34628847 is 74882643.

It is not a de Polignac number, because 34628847 - 2¹⁹ = 34104559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34628799 and 34628808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34628807) 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, 7722 + ... + 11352.

It is an arithmetic number, because the mean of its divisors is an integer number (2230048).

Almost surely, 2^34628847 is an apocalyptic number.

34628847 is a deficient number, since it is larger than the sum of its proper divisors (18892305).

34628847 is a wasteful number, since it uses less digits than its factorization.

34628847 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3662 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 34628847 is about 5884.6280256274. The cubic root of 34628847 is about 325.9462662513.

It can be divided in two parts, 34 and 628847, that added together give a triangular number (628881 = T₁₁₂₁).

The spelling of 34628847 in words is "thirty-four million, six hundred twenty-eight thousand, eight hundred forty-seven".