34106040 has 96 divisors (see below), whose sum is σ = 111618000. Its totient is φ = 9031680.

The previous prime is 34106003. The next prime is 34106041. The reversal of 34106040 is 4060143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34106041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75736 + ... + 76184.

Almost surely, 2^34106040 is an apocalyptic number.

34106040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55809000).

34106040 is an abundant number, since it is smaller than the sum of its proper divisors (77511960).

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

34106040 is a wasteful number, since it uses less digits than its factorization.

34106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34106040 is about 5840.0376711114. The cubic root of 34106040 is about 324.2976231847.

Adding to 34106040 its reverse (4060143), we get a palindrome (38166183).

The spelling of 34106040 in words is "thirty-four million, one hundred six thousand, forty".