3000535379040 has 576 divisors, whose sum is σ = 10462722213888. Its totient is φ = 721861017600.

The previous prime is 3000535379027. The next prime is 3000535379077. The reversal of 3000535379040 is 409735350003.

3000535379040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3000535379040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 460130980 + ... + 460137500.

It is an arithmetic number, because the mean of its divisors is an integer number (18164448288).

Almost surely, 2^{3000535379040} is an apocalyptic number.

3000535379040 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 3000535379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231361106944).

3000535379040 is an abundant number, since it is smaller than the sum of its proper divisors (7462186834848).

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

3000535379040 is a wasteful number, since it uses less digits than its factorization.

3000535379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6711 (or 6686 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 39.

The spelling of 3000535379040 in words is "three trillion, five hundred thirty-five million, three hundred seventy-nine thousand, forty".