3000573543240 has 288 divisors, whose sum is σ = 12216621788280. Its totient is φ = 633087995904.

The previous prime is 3000573543239. The next prime is 3000573543263. The reversal of 3000573543240 is 423453750003.

3000573543240 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 5 + 73 + 543 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1609584465636 + 1390989077604 = 1268694^2 + 1179402^2 .

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 = 3000573543195 and 3000573543204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6313009 + ... + 6771648.

Almost surely, 2^{3000573543240} is an apocalyptic number.

3000573543240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3000573543240 is an abundant number, since it is smaller than the sum of its proper divisors (9216048245040).

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

3000573543240 is a wasteful number, since it uses less digits than its factorization.

3000573543240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13084701 (or 13084687 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The spelling of 3000573543240 in words is "three trillion, five hundred seventy-three million, five hundred forty-three thousand, two hundred forty".