3005978000 has 40 divisors (see below), whose sum is σ = 7268459640. Its totient is φ = 1202390400.

The previous prime is 3005977991. The next prime is 3005978021. The reversal of 3005978000 is 8795003.

It can be written as a sum of positive squares in 4 ways, for example, as 675792016 + 2330185984 = 25996^2 + 48272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749495 + ... + 753494.

It is an arithmetic number, because the mean of its divisors is an integer number (181711491).

Almost surely, 2^3005978000 is an apocalyptic number.

It is an amenable number.

3005978000 is an abundant number, since it is smaller than the sum of its proper divisors (4262481640).

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

3005978000 is a wasteful number, since it uses less digits than its factorization.

3005978000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503012 (or 1502996 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 3005978000 is about 54826.8000160505. The cubic root of 3005978000 is about 1443.2069089177.

The spelling of 3005978000 in words is "three billion, five million, nine hundred seventy-eight thousand".