3003461607060 has 384 divisors, whose sum is σ = 10057650301440. Its totient is φ = 741359443968.

The previous prime is 3003461607059. The next prime is 3003461607143. The reversal of 3003461607060 is 607061643003.

It is a happy number.

3003461607060 is a `hidden beast` number, since 3 + 0 + 0 + 3 + 46 + 1 + 607 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416392014 + ... + 416399226.

It is an arithmetic number, because the mean of its divisors is an integer number (26191797660).

Almost surely, 2^{3003461607060} is an apocalyptic number.

3003461607060 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 3003461607060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028825150720).

3003461607060 is an abundant number, since it is smaller than the sum of its proper divisors (7054188694380).

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

3003461607060 is a wasteful number, since it uses less digits than its factorization.

3003461607060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7992 (or 7984 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 3003461607060 in words is "three trillion, three billion, four hundred sixty-one million, six hundred seven thousand, sixty".