34306632 has 64 divisors (see below), whose sum is σ = 96681600. Its totient is φ = 11269440.

The previous prime is 34306631. The next prime is 34306633. The reversal of 34306632 is 23660343.

It is an interprime number because it is at equal distance from previous prime (34306631) and next prime (34306633).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34306596 and 34306605.

It is not an unprimeable number, because it can be changed into a prime (34306631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14218 + ... + 16454.

It is an arithmetic number, because the mean of its divisors is an integer number (1510650).

Almost surely, 2^34306632 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 34306632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48340800).

34306632 is an abundant number, since it is smaller than the sum of its proper divisors (62374968).

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

34306632 is a wasteful number, since it uses less digits than its factorization.

34306632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 34306632 is about 5857.1863552392. The cubic root of 34306632 is about 324.9321578314.

Adding to 34306632 its reverse (23660343), we get a palindrome (57966975).

The spelling of 34306632 in words is "thirty-four million, three hundred six thousand, six hundred thirty-two".