34409761 has 8 divisors (see below), whose sum is σ = 35492864. Its totient is φ = 33339600.

The previous prime is 34409759. The next prime is 34409797. The reversal of 34409761 is 16790443.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(34409761) divides (34409761-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 34409761 - 2¹ = 34409759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34409261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2311 + ... + 8611.

It is an arithmetic number, because the mean of its divisors is an integer number (4436608).

Almost surely, 2^34409761 is an apocalyptic number.

34409761 is the 3136-th centered heptagonal number.

It is an amenable number.

34409761 is a deficient number, since it is larger than the sum of its proper divisors (1083103).

34409761 is a wasteful number, since it uses less digits than its factorization.

34409761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 34409761 is about 5865.9833787695. The cubic root of 34409761 is about 325.2574244490.

The spelling of 34409761 in words is "thirty-four million, four hundred nine thousand, seven hundred sixty-one".