38787378163200 has 480 divisors, whose sum is σ = 146961106744320. Its totient is φ = 10009643212800.

The previous prime is 38787378163189. The next prime is 38787378163207. The reversal of 38787378163200 is 236187378783.

38787378163200 is a `hidden beast` number, since 3 + 8 + 7 + 87 + 378 + 163 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38787378163207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8903407 + ... + 12523793.

It is an arithmetic number, because the mean of its divisors is an integer number (306168972384).

Almost surely, 2^{38787378163200} is an apocalyptic number.

38787378163200 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 38787378163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73480553372160).

38787378163200 is an abundant number, since it is smaller than the sum of its proper divisors (108173728581120).

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

38787378163200 is a wasteful number, since it uses less digits than its factorization.

38787378163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620455 (or 3620428 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 38787378163200 in words is "thirty-eight trillion, seven hundred eighty-seven billion, three hundred seventy-eight million, one hundred sixty-three thousand, two hundred".