34349832 has 160 divisors (see below), whose sum is σ = 108028800. Its totient is φ = 10108800.

The previous prime is 34349831. The next prime is 34349837. The reversal of 34349832 is 23894343.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

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

It is not an unprimeable number, because it can be changed into a prime (34349831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434769 + ... + 434847.

It is an arithmetic number, because the mean of its divisors is an integer number (675180).

Almost surely, 2^34349832 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 34349832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54014400).

34349832 is an abundant number, since it is smaller than the sum of its proper divisors (73678968).

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

34349832 is a wasteful number, since it uses less digits than its factorization.

34349832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34349832 is about 5860.8729725187. The cubic root of 34349832 is about 325.0684889190.

It can be divided in two parts, 34 and 349832, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 34349832 in words is "thirty-four million, three hundred forty-nine thousand, eight hundred thirty-two".