3000287253456 has 400 divisors, whose sum is σ = 9166858243840. Its totient is φ = 946329246720.

The previous prime is 3000287253413. The next prime is 3000287253503. The reversal of 3000287253456 is 6543527820003.

3000287253456 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 287 + 25 + 345 + 6 = 666.

3000287253456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3000287253456³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 253804026 + ... + 253815846.

Almost surely, 2^{3000287253456} is an apocalyptic number.

3000287253456 is a gapful number since it is divisible by the number (36) 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 3000287253456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583429121920).

3000287253456 is an abundant number, since it is smaller than the sum of its proper divisors (6166570990384).

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

3000287253456 is a wasteful number, since it uses less digits than its factorization.

3000287253456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12024 (or 12009 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3000287253456 in words is "three trillion, two hundred eighty-seven million, two hundred fifty-three thousand, four hundred fifty-six".