34663616 has 56 divisors (see below), whose sum is σ = 75401424. Its totient is φ = 15713280.

The previous prime is 34663583. The next prime is 34663627. The reversal of 34663616 is 61636643.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50411 + ... + 51093.

It is an arithmetic number, because the mean of its divisors is an integer number (1346454).

Almost surely, 2^34663616 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 34663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37700712).

34663616 is an abundant number, since it is smaller than the sum of its proper divisors (40737808).

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

34663616 is a wasteful number, since it uses less digits than its factorization.

34663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 34663616 is about 5887.5815068668. The cubic root of 34663616 is about 326.0553182501.

The spelling of 34663616 in words is "thirty-four million, six hundred sixty-three thousand, six hundred sixteen".