30338880 has 336 divisors, whose sum is σ = 120481344. Its totient is φ = 6389760.

The previous prime is 30338879. The next prime is 30338911. The reversal of 30338880 is 8883303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 1784632 + ... + 1784648.

Almost surely, 2^30338880 is an apocalyptic number.

30338880 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 30338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60240672).

30338880 is an abundant number, since it is smaller than the sum of its proper divisors (90142464).

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

30338880 is a wasteful number, since it uses less digits than its factorization.

30338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 30338880 is about 5508.0740735760. The cubic root of 30338880 is about 311.8888492959. Note that the first 4 decimals are identical.

The spelling of 30338880 in words is "thirty million, three hundred thirty-eight thousand, eight hundred eighty".