38215766476800 has 1728 divisors, whose sum is σ = 157609874822400. Its totient is φ = 9065447424000.

The previous prime is 38215766476759. The next prime is 38215766476969. The reversal of 38215766476800 is 867466751283.

38215766476800 is a `hidden beast` number, since 3 + 8 + 2 + 15 + 76 + 6 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 143 ways as a sum of consecutive naturals, for example, 7861706370 + ... + 7861711230.

It is an arithmetic number, because the mean of its divisors is an integer number (91209418300).

Almost surely, 2^{38215766476800} is an apocalyptic number.

38215766476800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38215766476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78804937411200).

38215766476800 is an abundant number, since it is smaller than the sum of its proper divisors (119394108345600).

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

38215766476800 is a wasteful number, since it uses less digits than its factorization.

38215766476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4929 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 38215766476800 in words is "thirty-eight trillion, two hundred fifteen billion, seven hundred sixty-six million, four hundred seventy-six thousand, eight hundred".