34929040 has 40 divisors (see below), whose sum is σ = 82336248. Its totient is φ = 13777920.

The previous prime is 34929031. The next prime is 34929053. The reversal of 34929040 is 4092943.

It can be written as a sum of positive squares in 4 ways, for example, as 71824 + 34857216 = 268^2 + 5904^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34928993 and 34929011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2850 + ... + 8830.

Almost surely, 2^34929040 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 34929040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41168124).

34929040 is an abundant number, since it is smaller than the sum of its proper divisors (47407208).

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

34929040 is a wasteful number, since it uses less digits than its factorization.

34929040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 34929040 is about 5910.0795256917. The cubic root of 34929040 is about 326.8854196782.

The spelling of 34929040 in words is "thirty-four million, nine hundred twenty-nine thousand, forty".