38728914636600 has 120 divisors (see below), whose sum is σ = 134511258206160. Its totient is φ = 10327710565440.

The previous prime is 38728914636551. The next prime is 38728914636647. The reversal of 38728914636600 is 663641982783.

38728914636600 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 8 + 9 + 14 + 6 + 3 + 6 + 600 = 666.

38728914636600 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1195320672 + ... + 1195353071.

It is an arithmetic number, because the mean of its divisors is an integer number (1120927151718).

Almost surely, 2^{38728914636600} is an apocalyptic number.

38728914636600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38728914636600 is an abundant number, since it is smaller than the sum of its proper divisors (95782343569560).

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

38728914636600 is a wasteful number, since it uses less digits than its factorization.

38728914636600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390673771 (or 2390673753 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 38728914636600 in words is "thirty-eight trillion, seven hundred twenty-eight billion, nine hundred fourteen million, six hundred thirty-six thousand, six hundred".