3004733648340 has 60 divisors (see below), whose sum is σ = 9425960746356. Its totient is φ = 801262305792.

The previous prime is 3004733648303. The next prime is 3004733648353. The reversal of 3004733648340 is 438463374003.

3004733648340 is a `hidden beast` number, since 3 + 0 + 0 + 473 + 3 + 64 + 83 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1514346825744 + 1490386822596 = 1230588^2 + 1220814^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 19 ways as a sum of consecutive naturals, for example, 927385309 + ... + 927388548.

Almost surely, 2^{3004733648340} is an apocalyptic number.

3004733648340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3004733648340 is an abundant number, since it is smaller than the sum of its proper divisors (6421227098016).

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

3004733648340 is a wasteful number, since it uses less digits than its factorization.

3004733648340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854773878 (or 1854773867 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 3004733648340 in words is "three trillion, four billion, seven hundred thirty-three million, six hundred forty-eight thousand, three hundred forty".