3002834255040 has 560 divisors, whose sum is σ = 11905232882400. Its totient is φ = 713984606208.

The previous prime is 3002834255033. The next prime is 3002834255063. The reversal of 3002834255040 is 405524382003.

3002834255040 is a `hidden beast` number, since 3 + 0 + 0 + 28 + 3 + 42 + 550 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3002834254986 and 3002834255004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8192826 + ... + 8551494.

Almost surely, 2^{3002834255040} is an apocalyptic number.

3002834255040 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 3002834255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952616441200).

3002834255040 is an abundant number, since it is smaller than the sum of its proper divisors (8902398627360).

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

3002834255040 is a wasteful number, since it uses less digits than its factorization.

3002834255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358734 (or 358715 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 3002834255040 in words is "three trillion, two billion, eight hundred thirty-four million, two hundred fifty-five thousand, forty".