34449408 has 192 divisors, whose sum is σ = 117936000. Its totient is φ = 9732096.

The previous prime is 34449403. The next prime is 34449421. The reversal of 34449408 is 80494443.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34449403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387028 + ... + 387116.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^34449408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

34449408 is an abundant number, since it is smaller than the sum of its proper divisors (83486592).

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

34449408 is an equidigital number, since it uses as much as digits as its factorization.

34449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

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

The square root of 34449408 is about 5869.3618051710. The cubic root of 34449408 is about 325.3822972677.

The spelling of 34449408 in words is "thirty-four million, four hundred forty-nine thousand, four hundred eight".