35129034 has 48 divisors (see below), whose sum is σ = 79396200. Its totient is φ = 11211648.

The previous prime is 35129033. The next prime is 35129041. The reversal of 35129034 is 43092153.

It can be written as a sum of positive squares in 4 ways, for example, as 32455809 + 2673225 = 5697^2 + 1635^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35128989 and 35129007.

It is not an unprimeable number, because it can be changed into a prime (35129033) 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, 90112 + ... + 90500.

Almost surely, 2^35129034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35129034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39698100).

35129034 is an abundant number, since it is smaller than the sum of its proper divisors (44267166).

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

35129034 is a wasteful number, since it uses less digits than its factorization.

35129034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 35129034 is about 5926.9751138334. The cubic root of 35129034 is about 327.5081178183.

The spelling of 35129034 in words is "thirty-five million, one hundred twenty-nine thousand, thirty-four".