3045668502240 has 3072 divisors, whose sum is σ = 14635223285760. Its totient is φ = 573308928000.

The previous prime is 3045668502211. The next prime is 3045668502251. The reversal of 3045668502240 is 422058665403.

3045668502240 is a `hidden beast` number, since 3 + 0 + 4 + 566 + 85 + 0 + 2 + 2 + 4 + 0 = 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 511 ways as a sum of consecutive naturals, for example, 12637628520 + ... + 12637628760.

It is an arithmetic number, because the mean of its divisors is an integer number (4764070080).

Almost surely, 2^{3045668502240} is an apocalyptic number.

3045668502240 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 3045668502240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317611642880).

3045668502240 is an abundant number, since it is smaller than the sum of its proper divisors (11589554783520).

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

3045668502240 is a wasteful number, since it uses less digits than its factorization.

3045668502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3045668502240 in words is "three trillion, forty-five billion, six hundred sixty-eight million, five hundred two thousand, two hundred forty".