30738432 has 48 divisors (see below), whose sum is σ = 81965520. Its totient is φ = 10244096.

The previous prime is 30738403. The next prime is 30738437. The reversal of 30738432 is 23483703.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30738432.

It is not an unprimeable number, because it can be changed into a prime (30738437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3643 + ... + 8645.

It is an arithmetic number, because the mean of its divisors is an integer number (1707615).

Almost surely, 2^30738432 is an apocalyptic number.

30738432 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 30738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40982760).

30738432 is an abundant number, since it is smaller than the sum of its proper divisors (51227088).

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

30738432 is an equidigital number, since it uses as much as digits as its factorization.

30738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 30738432 is about 5544.2251036552. The cubic root of 30738432 is about 313.2520366524.

The spelling of 30738432 in words is "thirty million, seven hundred thirty-eight thousand, four hundred thirty-two".