34630816 has 48 divisors (see below), whose sum is σ = 76416480. Its totient is φ = 15310080.

The previous prime is 34630811. The next prime is 34630823. The reversal of 34630816 is 61803643.

It is not an unprimeable number, because it can be changed into a prime (34630811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11695 + ... + 14353.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 2^34630816 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 34630816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38208240).

34630816 is an abundant number, since it is smaller than the sum of its proper divisors (41785664).

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

34630816 is a wasteful number, since it uses less digits than its factorization.

34630816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2717 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34630816 is about 5884.7953235435. The cubic root of 34630816 is about 325.9524439142.

The spelling of 34630816 in words is "thirty-four million, six hundred thirty thousand, eight hundred sixteen".