34407126 has 64 divisors (see below), whose sum is σ = 85962240. Its totient is φ = 10121760.

The previous prime is 34407041. The next prime is 34407127. The reversal of 34407126 is 62170443.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 34407126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34407127) 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, 15081 + ... + 17211.

It is an arithmetic number, because the mean of its divisors is an integer number (1343160).

Almost surely, 2^34407126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34407126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42981120).

34407126 is an abundant number, since it is smaller than the sum of its proper divisors (51555114).

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

34407126 is a wasteful number, since it uses less digits than its factorization.

34407126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34407126 is about 5865.7587744468. The cubic root of 34407126 is about 325.2491218127.

Adding to 34407126 its reverse (62170443), we get a palindrome (96577569).

The spelling of 34407126 in words is "thirty-four million, four hundred seven thousand, one hundred twenty-six".