34406736 has 80 divisors (see below), whose sum is σ = 109409664. Its totient is φ = 9073152.

The previous prime is 34406719. The next prime is 34406741. The reversal of 34406736 is 63760443.

It is a junction number, because it is equal to n+sod(n) for n = 34406697 and 34406706.

It is a congruent number.

It is an unprimeable number.

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, 430 + ... + 8306.

Almost surely, 2^34406736 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 34406736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54704832).

34406736 is an abundant number, since it is smaller than the sum of its proper divisors (75002928).

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

34406736 is a wasteful number, since it uses less digits than its factorization.

34406736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The square root of 34406736 is about 5865.7255305716. The cubic root of 34406736 is about 325.2478929235.

The spelling of 34406736 in words is "thirty-four million, four hundred six thousand, seven hundred thirty-six".