30338672 has 80 divisors (see below), whose sum is σ = 73661952. Its totient is φ = 11784960.

The previous prime is 30338663. The next prime is 30338681. The reversal of 30338672 is 27683303.

It is an interprime number because it is at equal distance from previous prime (30338663) and next prime (30338681).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97397 + ... + 97707.

Almost surely, 2^30338672 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 30338672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36830976).

30338672 is an abundant number, since it is smaller than the sum of its proper divisors (43323280).

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

30338672 is a wasteful number, since it uses less digits than its factorization.

30338672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 30338672 is about 5508.0551921708. The cubic root of 30338672 is about 311.8881365358. Note that the first 3 decimals are identical.

The spelling of 30338672 in words is "thirty million, three hundred thirty-eight thousand, six hundred seventy-two".