3063780720 has 960 divisors, whose sum is σ = 14377651200. Its totient is φ = 582266880.

The previous prime is 3063780691. The next prime is 3063780791. The reversal of 3063780720 is 270873603.

It is a super-4 number, since 4×3063780720⁴ (a number of 39 digits) contains 4444 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28108026 + ... + 28108134.

It is an arithmetic number, because the mean of its divisors is an integer number (14976720).

Almost surely, 2^3063780720 is an apocalyptic number.

3063780720 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 3063780720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188825600).

3063780720 is an abundant number, since it is smaller than the sum of its proper divisors (11313870480).

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

3063780720 is a wasteful number, since it uses less digits than its factorization.

3063780720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3063780720 is about 55351.4292498396. The cubic root of 3063780720 is about 1452.3988385954.

The spelling of 3063780720 in words is "three billion, sixty-three million, seven hundred eighty thousand, seven hundred twenty".