3000361530240 has 1024 divisors, whose sum is σ = 11483333971200. Its totient is φ = 737657487360.

The previous prime is 3000361530227. The next prime is 3000361530247. The reversal of 3000361530240 is 420351630003.

It is a happy number.

3000361530240 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 3 + 615 + 3 + 0 + 2 + 40 = 666.

It is a super-2 number, since 2×3000361530240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000361530247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3881450494 + ... + 3881451266.

Almost surely, 2^{3000361530240} is an apocalyptic number.

3000361530240 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 3000361530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741666985600).

3000361530240 is an abundant number, since it is smaller than the sum of its proper divisors (8482972440960).

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

3000361530240 is a wasteful number, since it uses less digits than its factorization.

3000361530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 3000361530240 in words is "three trillion, three hundred sixty-one million, five hundred thirty thousand, two hundred forty".