3078328320 has 416 divisors, whose sum is σ = 11559139200. Its totient is φ = 775028736.

The previous prime is 3078328291. The next prime is 3078328367. The reversal of 3078328320 is 238238703.

3078328320 is a `hidden beast` number, since 3 + 0 + 7 + 8 + 328 + 320 = 666.

It is a super-2 number, since 2×3078328320² = 18952210491428044800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10506094 + ... + 10506386.

Almost surely, 2^3078328320 is an apocalyptic number.

3078328320 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 3078328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779569600).

3078328320 is an abundant number, since it is smaller than the sum of its proper divisors (8480810880).

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

3078328320 is a wasteful number, since it uses less digits than its factorization.

3078328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3078328320 is about 55482.6848665419. The cubic root of 3078328320 is about 1454.6939945274.

The spelling of 3078328320 in words is "three billion, seventy-eight million, three hundred twenty-eight thousand, three hundred twenty".