34729840 has 40 divisors (see below), whose sum is σ = 82280448. Its totient is φ = 13628160.

The previous prime is 34729837. The next prime is 34729841. The reversal of 34729840 is 4892743.

It is a happy number.

34729840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 34729840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34729841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145 + ... + 8335.

Almost surely, 2^34729840 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 34729840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41140224).

34729840 is an abundant number, since it is smaller than the sum of its proper divisors (47550608).

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

34729840 is a wasteful number, since it uses less digits than its factorization.

34729840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 34729840 is about 5893.2028643175. The cubic root of 34729840 is about 326.2628264262.

The spelling of 34729840 in words is "thirty-four million, seven hundred twenty-nine thousand, eight hundred forty".