34414401 has 16 divisors (see below), whose sum is σ = 52610048. Its totient is φ = 19602000.

The previous prime is 34414399. The next prime is 34414423. The reversal of 34414401 is 10441443.

It is not a de Polignac number, because 34414401 - 2¹ = 34414399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34414451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4476 + ... + 9426.

It is an arithmetic number, because the mean of its divisors is an integer number (3288128).

Almost surely, 2^34414401 is an apocalyptic number.

It is an amenable number.

34414401 is a deficient number, since it is larger than the sum of its proper divisors (18195647).

34414401 is a wasteful number, since it uses less digits than its factorization.

34414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5292.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34414401 is about 5866.3788660468. The cubic root of 34414401 is about 325.2720436208.

Adding to 34414401 its reverse (10441443), we get a palindrome (44855844).

The spelling of 34414401 in words is "thirty-four million, four hundred fourteen thousand, four hundred one".