34789032 has 72 divisors (see below), whose sum is σ = 96852990. Its totient is φ = 11278080.

The previous prime is 34789003. The next prime is 34789043. The reversal of 34789032 is 23098743.

It can be written as a sum of positive squares in 3 ways, for example, as 9326916 + 25462116 = 3054^2 + 5046^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

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 17 ways as a sum of consecutive naturals, for example, 390844 + ... + 390932.

Almost surely, 2^34789032 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 34789032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48426495).

34789032 is an abundant number, since it is smaller than the sum of its proper divisors (62063958).

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

34789032 is a wasteful number, since it uses less digits than its factorization.

34789032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34789032 is about 5898.2227831780. Note that the first 3 decimals coincide. The cubic root of 34789032 is about 326.4480771886.

The spelling of 34789032 in words is "thirty-four million, seven hundred eighty-nine thousand, thirty-two".