38861004296800 has 144 divisors (see below), whose sum is σ = 109416902807520. Its totient is φ = 13201536245760.

The previous prime is 38861004296707. The next prime is 38861004296819. The reversal of 38861004296800 is 869240016883.

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, 31222009 + ... + 32442808.

It is an arithmetic number, because the mean of its divisors is an integer number (759839602830).

Almost surely, 2^{38861004296800} is an apocalyptic number.

It is an amenable number.

38861004296800 is an abundant number, since it is smaller than the sum of its proper divisors (70555898510720).

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

38861004296800 is a wasteful number, since it uses less digits than its factorization.

38861004296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63664953 (or 63664940 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 55.

The spelling of 38861004296800 in words is "thirty-eight trillion, eight hundred sixty-one billion, four million, two hundred ninety-six thousand, eight hundred".