38896868476800 has 1152 divisors, whose sum is σ = 150374245432320. Its totient is φ = 9916452864000.

The previous prime is 38896868476783. The next prime is 38896868476871. The reversal of 38896868476800 is 867486869883.

38896868476800 is a `hidden beast` number, since 3 + 8 + 8 + 9 + 6 + 8 + 68 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 38896868476800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2000755080 + ... + 2000774520.

It is an arithmetic number, because the mean of its divisors is an integer number (130533199160).

Almost surely, 2^{38896868476800} is an apocalyptic number.

38896868476800 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 38896868476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75187122716160).

38896868476800 is an abundant number, since it is smaller than the sum of its proper divisors (111477376955520).

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

38896868476800 is a wasteful number, since it uses less digits than its factorization.

38896868476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19594 (or 19565 counting only the distinct ones).

The product of its (nonzero) digits is 5350883328, while the sum is 81.

The spelling of 38896868476800 in words is "thirty-eight trillion, eight hundred ninety-six billion, eight hundred sixty-eight million, four hundred seventy-six thousand, eight hundred".