35429064 has 64 divisors (see below), whose sum is σ = 98115840. Its totient is φ = 10570560.

The previous prime is 35429059. The next prime is 35429089. The reversal of 35429064 is 46092453.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 16687 + ... + 18689.

It is an arithmetic number, because the mean of its divisors is an integer number (1533060).

Almost surely, 2^35429064 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 35429064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49057920).

35429064 is an abundant number, since it is smaller than the sum of its proper divisors (62686776).

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

35429064 is a wasteful number, since it uses less digits than its factorization.

35429064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 35429064 is about 5952.2318503230. The cubic root of 35429064 is about 328.4378694912.

The spelling of 35429064 in words is "thirty-five million, four hundred twenty-nine thousand, sixty-four".