34689648 has 120 divisors (see below), whose sum is σ = 106981248. Its totient is φ = 9680832.

The previous prime is 34689647. The next prime is 34689653. The reversal of 34689648 is 84698643.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34689597 and 34689606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34689643) 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, 806715 + ... + 806757.

Almost surely, 2^34689648 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 34689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53490624).

34689648 is an abundant number, since it is smaller than the sum of its proper divisors (72291600).

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

34689648 is an frugal number, since it uses more digits than its factorization.

34689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 55 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 34689648 is about 5889.7918469162. The cubic root of 34689648 is about 326.1369191633.

The spelling of 34689648 in words is "thirty-four million, six hundred eighty-nine thousand, six hundred forty-eight".