3000378240 has 256 divisors, whose sum is σ = 10677441600. Its totient is φ = 796262400.

The previous prime is 3000378239. The next prime is 3000378257. The reversal of 3000378240 is 428730003.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6929064 + ... + 6929496.

Almost surely, 2^3000378240 is an apocalyptic number.

3000378240 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 3000378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338720800).

3000378240 is an abundant number, since it is smaller than the sum of its proper divisors (7677063360).

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

3000378240 is a wasteful number, since it uses less digits than its factorization.

3000378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3000378240 is about 54775.7084846924. The cubic root of 3000378240 is about 1442.3101807022.

The spelling of 3000378240 in words is "three billion, three hundred seventy-eight thousand, two hundred forty".