30379680 has 216 divisors, whose sum is σ = 111636252. Its totient is φ = 7520256.

The previous prime is 30379669. The next prime is 30379681. The reversal of 30379680 is 8697303.

It can be written as a sum of positive squares in 6 ways, for example, as 22695696 + 7683984 = 4764^2 + 2772^2 .

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 (30379681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416124 + ... + 416196.

Almost surely, 2^30379680 is an apocalyptic number.

30379680 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 30379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55818126).

30379680 is an abundant number, since it is smaller than the sum of its proper divisors (81256572).

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

30379680 is a wasteful number, since it uses less digits than its factorization.

30379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

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

The square root of 30379680 is about 5511.7764831314. The cubic root of 30379680 is about 312.0285969843.

The spelling of 30379680 in words is "thirty million, three hundred seventy-nine thousand, six hundred eighty".