34109040 has 160 divisors (see below), whose sum is σ = 122849280. Its totient is φ = 7667712.

The previous prime is 34109029. The next prime is 34109041. The reversal of 34109040 is 4090143.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 34108998 and 34109016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34109041) 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, 132592 + ... + 132848.

It is an arithmetic number, because the mean of its divisors is an integer number (767808).

Almost surely, 2^34109040 is an apocalyptic number.

34109040 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 34109040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61424640).

34109040 is an abundant number, since it is smaller than the sum of its proper divisors (88740240).

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

34109040 is a wasteful number, since it uses less digits than its factorization.

34109040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 34109040 is about 5840.2945131217. The cubic root of 34109040 is about 324.3071314159.

Adding to 34109040 its reverse (4090143), we get a palindrome (38199183).

The spelling of 34109040 in words is "thirty-four million, one hundred nine thousand, forty".