34414000 has 40 divisors (see below), whose sum is σ = 83217888. Its totient is φ = 13764800.

The previous prime is 34413991. The next prime is 34414021. The reversal of 34414000 is 41443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6604 + ... + 10603.

Almost surely, 2^34414000 is an apocalyptic number.

It is an amenable number.

34414000 is an abundant number, since it is smaller than the sum of its proper divisors (48803888).

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

34414000 is a wasteful number, since it uses less digits than its factorization.

34414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34414000 is about 5866.3446881342. The cubic root of 34414000 is about 325.2707802485.

Adding to 34414000 its reverse (41443), we get a palindrome (34455443).

The spelling of 34414000 in words is "thirty-four million, four hundred fourteen thousand".