30329964 has 120 divisors (see below), whose sum is σ = 93020928. Its totient is φ = 8436960.

The previous prime is 30329963. The next prime is 30329977. The reversal of 30329964 is 46992303.

It is a happy number.

30329964 is a `hidden beast` number, since 303 + 299 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (30329963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97369 + ... + 97679.

Almost surely, 2^30329964 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 30329964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46510464).

30329964 is an abundant number, since it is smaller than the sum of its proper divisors (62690964).

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

30329964 is a wasteful number, since it uses less digits than its factorization.

30329964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 30329964 is about 5507.2646567965. The cubic root of 30329964 is about 311.8582936367.

It can be divided in two parts, 3032 and 9964, that added together give a square (12996 = 114²).

The spelling of 30329964 in words is "thirty million, three hundred twenty-nine thousand, nine hundred sixty-four".