34914144 has 48 divisors (see below), whose sum is σ = 94817520. Its totient is φ = 11235840.

The previous prime is 34914133. The next prime is 34914149. The reversal of 34914144 is 44141943.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34914149) 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, 3487 + ... + 9054.

It is an arithmetic number, because the mean of its divisors is an integer number (1975365).

Almost surely, 2^34914144 is an apocalyptic number.

It is an amenable number.

34914144 is an abundant number, since it is smaller than the sum of its proper divisors (59903376).

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

34914144 is a wasteful number, since it uses less digits than its factorization.

34914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12583 (or 12575 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 34914144 is about 5908.8191713743. The cubic root of 34914144 is about 326.8389447147.

The spelling of 34914144 in words is "thirty-four million, nine hundred fourteen thousand, one hundred forty-four".