329742336 has 384 divisors, whose sum is σ = 1188794880. Its totient is φ = 78643200.

The previous prime is 329742323. The next prime is 329742337. The reversal of 329742336 is 633247923.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (163296) is a multiple of the sum of its prime divisors (81).

It is a junction number, because it is equal to n+sod(n) for n = 329742294 and 329742303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329742337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8042476 + ... + 8042516.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^329742336 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 329742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594397440).

329742336 is an abundant number, since it is smaller than the sum of its proper divisors (859052544).

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

329742336 is a wasteful number, since it uses less digits than its factorization.

329742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 81 counting only the distinct ones).

The product of its digits is 163296, while the sum is 39.

The square root of 329742336 is about 18158.8087715026. The cubic root of 329742336 is about 690.8624208885.

It can be divided in two parts, 329742 and 336, that added together give a triangular number (330078 = T₈₁₂).

The spelling of 329742336 in words is "three hundred twenty-nine million, seven hundred forty-two thousand, three hundred thirty-six".