3642744263256 has 96 divisors (see below), whose sum is σ = 11290056529440. Its totient is φ = 1039409086464.

The previous prime is 3642744263239. The next prime is 3642744263261. The reversal of 3642744263256 is 6523624472463.

3642744263256 is a `hidden beast` number, since 3 + 6 + 4 + 274 + 42 + 6 + 325 + 6 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4392361 + ... + 5155416.

It is an arithmetic number, because the mean of its divisors is an integer number (117604755515).

Almost surely, 2^{3642744263256} is an apocalyptic number.

3642744263256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3642744263256 is an abundant number, since it is smaller than the sum of its proper divisors (7647312266184).

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

3642744263256 is a wasteful number, since it uses less digits than its factorization.

3642744263256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9548553 (or 9548546 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 54.

The spelling of 3642744263256 in words is "three trillion, six hundred forty-two billion, seven hundred forty-four million, two hundred sixty-three thousand, two hundred fifty-six".