329281632 has 96 divisors (see below), whose sum is σ = 970552800. Its totient is φ = 108601344.

The previous prime is 329281591. The next prime is 329281637. The reversal of 329281632 is 236182923.

It is a tau number, because it is divible by the number of its divisors (96).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329281637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81844 + ... + 85772.

It is an arithmetic number, because the mean of its divisors is an integer number (10109925).

Almost surely, 2^329281632 is an apocalyptic number.

329281632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485276400).

329281632 is an abundant number, since it is smaller than the sum of its proper divisors (641271168).

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

329281632 is a wasteful number, since it uses less digits than its factorization.

329281632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4031 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 329281632 is about 18146.1189238911. The cubic root of 329281632 is about 690.5405216434.

It can be divided in two parts, 329 and 281632, that added together give a square (281961 = 531²).

The spelling of 329281632 in words is "three hundred twenty-nine million, two hundred eighty-one thousand, six hundred thirty-two".