3027345834240 has 2592 divisors, whose sum is σ = 13990502373120. Its totient is φ = 589616381952.

The previous prime is 3027345834221. The next prime is 3027345834269. The reversal of 3027345834240 is 424385437203.

3027345834240 is a `hidden beast` number, since 3 + 0 + 27 + 3 + 4 + 583 + 4 + 2 + 40 = 666.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16912546471 + ... + 16912546649.

It is an arithmetic number, because the mean of its divisors is an integer number (5397570360).

Almost surely, 2^{3027345834240} is an apocalyptic number.

3027345834240 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 3027345834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995251186560).

3027345834240 is an abundant number, since it is smaller than the sum of its proper divisors (10963156538880).

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

3027345834240 is a wasteful number, since it uses less digits than its factorization.

3027345834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 3027345834240 in words is "three trillion, twenty-seven billion, three hundred forty-five million, eight hundred thirty-four thousand, two hundred forty".