329742000 has 240 divisors, whose sum is σ = 1316707392. Its totient is φ = 75340800.

The previous prime is 329741987. The next prime is 329742011. The reversal of 329742000 is 247923.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124692 + ... + 127308.

Almost surely, 2^329742000 is an apocalyptic number.

329742000 is a gapful number since it is divisible by the number (30) 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 329742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658353696).

329742000 is an abundant number, since it is smaller than the sum of its proper divisors (986965392).

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

329742000 is a wasteful number, since it uses less digits than its factorization.

329742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2653 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 329742000 is about 18158.7995197921. The cubic root of 329742000 is about 690.8621862307.

Adding to 329742000 its reverse (247923), we get a palindrome (329989923).

The spelling of 329742000 in words is "three hundred twenty-nine million, seven hundred forty-two thousand".