34959440 has 20 divisors (see below), whose sum is σ = 81280884. Its totient is φ = 13983744.

The previous prime is 34959439. The next prime is 34959443. The reversal of 34959440 is 4495943.

It can be written as a sum of positive squares in 2 ways, for example, as 5626384 + 29333056 = 2372^2 + 5416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×34959440² = 2444324890227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34959394 and 34959403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34959443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218417 + ... + 218576.

Almost surely, 2^34959440 is an apocalyptic number.

It is an amenable number.

34959440 is an abundant number, since it is smaller than the sum of its proper divisors (46321444).

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

34959440 is a wasteful number, since it uses less digits than its factorization.

34959440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437006 (or 437000 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The square root of 34959440 is about 5912.6508437417. The cubic root of 34959440 is about 326.9802255590.

The spelling of 34959440 in words is "thirty-four million, nine hundred fifty-nine thousand, four hundred forty".