34633332 has 96 divisors (see below), whose sum is σ = 94227840. Its totient is φ = 11127456.

The previous prime is 34633321. The next prime is 34633343. The reversal of 34633332 is 23333643.

It is an interprime number because it is at equal distance from previous prime (34633321) and next prime (34633343).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34633296 and 34633305.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 323623 + ... + 323729.

It is an arithmetic number, because the mean of its divisors is an integer number (981540).

Almost surely, 2^34633332 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 34633332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47113920).

34633332 is an abundant number, since it is smaller than the sum of its proper divisors (59594508).

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

34633332 is a wasteful number, since it uses less digits than its factorization.

34633332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 11664, while the sum is 27.

The square root of 34633332 is about 5885.0090909021. The cubic root of 34633332 is about 325.9603374282.

Adding to 34633332 its product of digits (11664), we get a square (34644996 = 5886²).

Adding to 34633332 its reverse (23333643), we get a palindrome (57966975).

The spelling of 34633332 in words is "thirty-four million, six hundred thirty-three thousand, three hundred thirty-two".