34516641 has 16 divisors (see below), whose sum is σ = 48044160. Its totient is φ = 22014720.

The previous prime is 34516633. The next prime is 34516679. The reversal of 34516641 is 14661543.

It is not a de Polignac number, because 34516641 - 2³ = 34516633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34516599 and 34516608.

It is not an unprimeable number, because it can be changed into a prime (34516631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8076 + ... + 11586.

It is an arithmetic number, because the mean of its divisors is an integer number (3002760).

Almost surely, 2^34516641 is an apocalyptic number.

It is an amenable number.

34516641 is a deficient number, since it is larger than the sum of its proper divisors (13527519).

34516641 is a wasteful number, since it uses less digits than its factorization.

34516641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656.

The product of its digits is 8640, while the sum is 30.

The square root of 34516641 is about 5875.0864674488. The cubic root of 34516641 is about 325.5938365752.

The spelling of 34516641 in words is "thirty-four million, five hundred sixteen thousand, six hundred forty-one".