329061312 has 112 divisors (see below), whose sum is σ = 985906080. Its totient is φ = 107587584.

The previous prime is 329061287. The next prime is 329061409. The reversal of 329061312 is 213160923.

329061312 is a `hidden beast` number, since 3 + 290 + 61 + 312 = 666.

It is a super-2 number, since 2×329061312² = 216562694110322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89788 + ... + 93380.

Almost surely, 2^329061312 is an apocalyptic number.

329061312 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 329061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492953040).

329061312 is an abundant number, since it is smaller than the sum of its proper divisors (656844768).

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

329061312 is a wasteful number, since it uses less digits than its factorization.

329061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3651 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 329061312 is about 18140.0471884723. The cubic root of 329061312 is about 690.3864753626.

The spelling of 329061312 in words is "three hundred twenty-nine million, sixty-one thousand, three hundred twelve".