34468641 has 27 divisors (see below), whose sum is σ = 53061489. Its totient is φ = 21558312.

The previous prime is 34468631. The next prime is 34468657. The reversal of 34468641 is 14686443.

The square root of 34468641 is 5871.

It is a perfect power (a square), and thus also a powerful number.

34468641 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 8 + 641 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-34468641 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34468596 and 34468605.

It is not an unprimeable number, because it can be changed into a prime (34468601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 334596 + ... + 334698.

Almost surely, 2^34468641 is an apocalyptic number.

34468641 is the 5871-st square number.

34468641 is the 2936-th centered octagonal number.

It is an amenable number.

34468641 is a deficient number, since it is larger than the sum of its proper divisors (18592848).

34468641 is a wasteful number, since it uses less digits than its factorization.

34468641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 34468641 is about 325.4428393188.

Multiplying 34468641 by its sum of digits (36), we get a square (1240871076 = 35226²).

It can be divided in two parts, 3 and 4468641, that added together give a palindrome (4468644).

The spelling of 34468641 in words is "thirty-four million, four hundred sixty-eight thousand, six hundred forty-one".