3012876904050 has 288 divisors, whose sum is σ = 9009788336640. Its totient is φ = 716804121600.

The previous prime is 3012876904049. The next prime is 3012876904109. The reversal of 3012876904050 is 504096782103.

3012876904050 is a `hidden beast` number, since 30 + 128 + 7 + 6 + 90 + 405 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 3012876903987 and 3012876904005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 149966406 + ... + 149986494.

It is an arithmetic number, because the mean of its divisors is an integer number (31283987280).

It is a 1-persistent number, because it is pandigital, but 2⋅3012876904050 = 6025753808100 is not.

Almost surely, 2^{3012876904050} is an apocalyptic number.

3012876904050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3012876904050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504894168320).

3012876904050 is an abundant number, since it is smaller than the sum of its proper divisors (5996911432590).

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

3012876904050 is a wasteful number, since it uses less digits than its factorization.

3012876904050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978 (or 20970 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3012876904050 in words is "three trillion, twelve billion, eight hundred seventy-six million, nine hundred four thousand, fifty".