30809376 has 144 divisors (see below), whose sum is σ = 97765920. Its totient is φ = 9434880.

The previous prime is 30809369. The next prime is 30809411. The reversal of 30809376 is 67390803.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 30809376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145911 + ... + 146121.

It is an arithmetic number, because the mean of its divisors is an integer number (678930).

Almost surely, 2^30809376 is an apocalyptic number.

30809376 is a gapful number since it is divisible by the number (36) 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 30809376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48882960).

30809376 is an abundant number, since it is smaller than the sum of its proper divisors (66956544).

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

30809376 is a wasteful number, since it uses less digits than its factorization.

30809376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 30809376 is about 5550.6194248930. The cubic root of 30809376 is about 313.4928456965.

The spelling of 30809376 in words is "thirty million, eight hundred nine thousand, three hundred seventy-six".