34105456 has 160 divisors (see below), whose sum is σ = 91422720. Its totient is φ = 11923200.

The previous prime is 34105441. The next prime is 34105459. The reversal of 34105456 is 65450143.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725625 + ... + 725671.

It is an arithmetic number, because the mean of its divisors is an integer number (571392).

Almost surely, 2^34105456 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 34105456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45711360).

34105456 is an abundant number, since it is smaller than the sum of its proper divisors (57317264).

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

34105456 is a wasteful number, since it uses less digits than its factorization.

34105456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 34105456 is about 5839.9876712199. The cubic root of 34105456 is about 324.2957721842.

Adding to 34105456 its reverse (65450143), we get a palindrome (99555599).

The spelling of 34105456 in words is "thirty-four million, one hundred five thousand, four hundred fifty-six".