3002402746656 has 120 divisors (see below), whose sum is σ = 8830728874044. Its totient is φ = 1000716387840.

The previous prime is 3002402746589. The next prime is 3002402746663. The reversal of 3002402746656 is 6566472042003.

3002402746656 is a `hidden beast` number, since 30 + 0 + 240 + 274 + 66 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3002304736656 + 98010000 = 1732716^2 + 9900^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35678326 + ... + 35762378.

Almost surely, 2^{3002402746656} is an apocalyptic number.

3002402746656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3002402746656 is an abundant number, since it is smaller than the sum of its proper divisors (5828326127388).

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

3002402746656 is a wasteful number, since it uses less digits than its factorization.

3002402746656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97856 (or 97839 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 3002402746656 its reverse (6566472042003), we get a palindrome (9568874788659).

The spelling of 3002402746656 in words is "three trillion, two billion, four hundred two million, seven hundred forty-six thousand, six hundred fifty-six".