30378816 has 84 divisors (see below), whose sum is σ = 93796612. Its totient is φ = 9345024.

The previous prime is 30378811. The next prime is 30378823. The reversal of 30378816 is 61887303.

It can be written as a sum of positive squares in 2 ways, for example, as 9585216 + 20793600 = 3096^2 + 4560^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30378811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5460 + ... + 9516.

Almost surely, 2^30378816 is an apocalyptic number.

30378816 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 30378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46898306).

30378816 is an abundant number, since it is smaller than the sum of its proper divisors (63417796).

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

30378816 is a wasteful number, since it uses less digits than its factorization.

30378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 30378816 is about 5511.6981049401. The cubic root of 30378816 is about 312.0256389187.

The spelling of 30378816 in words is "thirty million, three hundred seventy-eight thousand, eight hundred sixteen".