34634440 has 96 divisors (see below), whose sum is σ = 86867640. Its totient is φ = 12380160.

The previous prime is 34634437. The next prime is 34634447. The reversal of 34634440 is 4443643.

It can be written as a sum of positive squares in 4 ways, for example, as 33246756 + 1387684 = 5766^2 + 1178^2 .

It is a super-2 number, since 2×34634440² = 2399088868227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34634399 and 34634408.

It is not an unprimeable number, because it can be changed into a prime (34634447) 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, 653454 + ... + 653506.

Almost surely, 2^34634440 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 34634440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43433820).

34634440 is an abundant number, since it is smaller than the sum of its proper divisors (52233200).

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

34634440 is a wasteful number, since it uses less digits than its factorization.

34634440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 34634440 is about 5885.1032276418. The cubic root of 34634440 is about 325.9638134649.

The spelling of 34634440 in words is "thirty-four million, six hundred thirty-four thousand, four hundred forty".