3628800247 has 8 divisors (see below), whose sum is σ = 3789018000. Its totient is φ = 3470921664.

The previous prime is 3628800211. The next prime is 3628800257. The reversal of 3628800247 is 7420088263.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3628800247 is a prime.

It is a super-2 number, since 2×3628800247² = 26336382465254522018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628800257) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 581622 + ... + 587827.

It is an arithmetic number, because the mean of its divisors is an integer number (473627250).

Almost surely, 2^3628800247 is an apocalyptic number.

3628800247 is a deficient number, since it is larger than the sum of its proper divisors (160217753).

3628800247 is a wasteful number, since it uses less digits than its factorization.

3628800247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169585.

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 3628800247 is about 60239.5239606025. The cubic root of 3628800247 is about 1536.6950328508.

The spelling of 3628800247 in words is "three billion, six hundred twenty-eight million, eight hundred thousand, two hundred forty-seven".