3081361658400 has 216 divisors, whose sum is σ = 11130668505684. Its totient is φ = 801654988800.

The previous prime is 3081361658357. The next prime is 3081361658407. The reversal of 3081361658400 is 48561631803.

3081361658400 is a `hidden beast` number, since 3 + 0 + 8 + 1 + 3 + 61 + 6 + 584 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 464693075856 + 2616668582544 = 681684^2 + 1617612^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3081361658407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4923909 + ... + 5514308.

Almost surely, 2^{3081361658400} is an apocalyptic number.

3081361658400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3081361658400 is an abundant number, since it is smaller than the sum of its proper divisors (8049306847284).

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

3081361658400 is a wasteful number, since it uses less digits than its factorization.

3081361658400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10438284 (or 10438268 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3081361658400 in words is "three trillion, eighty-one billion, three hundred sixty-one million, six hundred fifty-eight thousand, four hundred".