3000578040 has 512 divisors, whose sum is σ = 11197440000. Its totient is φ = 711659520.

The previous prime is 3000578033. The next prime is 3000578041. The reversal of 3000578040 is 408750003.

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

It is a junction number, because it is equal to n+sod(n) for n = 3000577995 and 3000578013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000578041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33714316 + ... + 33714404.

It is an arithmetic number, because the mean of its divisors is an integer number (21870000).

Almost surely, 2^3000578040 is an apocalyptic number.

3000578040 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 3000578040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598720000).

3000578040 is an abundant number, since it is smaller than the sum of its proper divisors (8196861960).

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

3000578040 is a wasteful number, since it uses less digits than its factorization.

3000578040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3000578040 is about 54777.5322554786. The cubic root of 3000578040 is about 1442.3421952411.

The spelling of 3000578040 in words is "three billion, five hundred seventy-eight thousand, forty".