3018384311040 has 2880 divisors, whose sum is σ = 14040721981440. Its totient is φ = 603049328640.

The previous prime is 3018384311039. The next prime is 3018384311051. The reversal of 3018384311040 is 401134838103.

It is a happy number.

3018384311040 is a `hidden beast` number, since 3 + 0 + 183 + 8 + 431 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3018384311040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3018384310986 and 3018384311004.

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 319 ways as a sum of consecutive naturals, for example, 9831870567 + ... + 9831870873.

It is an arithmetic number, because the mean of its divisors is an integer number (4875250688).

Almost surely, 2^{3018384311040} is an apocalyptic number.

3018384311040 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 3018384311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020360990720).

3018384311040 is an abundant number, since it is smaller than the sum of its proper divisors (11022337670400).

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

3018384311040 is a wasteful number, since it uses less digits than its factorization.

3018384311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 3018384311040 in words is "three trillion, eighteen billion, three hundred eighty-four million, three hundred eleven thousand, forty".