3011864143680 has 448 divisors, whose sum is σ = 12857374010880. Its totient is φ = 647930216448.

The previous prime is 3011864143609. The next prime is 3011864143699. The reversal of 3011864143680 is 863414681103.

3011864143680 is a `hidden beast` number, since 30 + 1 + 186 + 4 + 1 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 436527 + ... + 2492846.

It is an arithmetic number, because the mean of its divisors is an integer number (28699495560).

Almost surely, 2^{3011864143680} is an apocalyptic number.

3011864143680 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 3011864143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428687005440).

3011864143680 is an abundant number, since it is smaller than the sum of its proper divisors (9845509867200).

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

3011864143680 is a wasteful number, since it uses less digits than its factorization.

3011864143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929423 (or 2929407 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3011864143680 in words is "three trillion, eleven billion, eight hundred sixty-four million, one hundred forty-three thousand, six hundred eighty".