34633638 has 48 divisors (see below), whose sum is σ = 81768960. Its totient is φ = 10530432.

The previous prime is 34633633. The next prime is 34633639. The reversal of 34633638 is 83633643.

It is a happy number.

It is a super-2 number, since 2×34633638² = 2398977762230088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34633633) 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, 19995 + ... + 21657.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^34633638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34633638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40884480).

34633638 is an abundant number, since it is smaller than the sum of its proper divisors (47135322).

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

34633638 is a wasteful number, since it uses less digits than its factorization.

34633638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1770 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 34633638 is about 5885.0350891052. The cubic root of 34633638 is about 325.9612974241.

The spelling of 34633638 in words is "thirty-four million, six hundred thirty-three thousand, six hundred thirty-eight".