3040185415680 has 2880 divisors, whose sum is σ = 13882105036800. Its totient is φ = 632073093120.

The previous prime is 3040185415651. The next prime is 3040185415703. The reversal of 3040185415680 is 865145810403.

3040185415680 is a `hidden beast` number, since 3 + 0 + 4 + 0 + 1 + 85 + 4 + 1 + 568 + 0 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 23938467777 + ... + 23938467903.

It is an arithmetic number, because the mean of its divisors is an integer number (4820175360).

Almost surely, 2^{3040185415680} is an apocalyptic number.

3040185415680 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 3040185415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941052518400).

3040185415680 is an abundant number, since it is smaller than the sum of its proper divisors (10841919621120).

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

3040185415680 is a wasteful number, since it uses less digits than its factorization.

3040185415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 3040185415680 in words is "three trillion, forty billion, one hundred eighty-five million, four hundred fifteen thousand, six hundred eighty".