38856303278496 has 576 divisors, whose sum is σ = 130697384832000. Its totient is φ = 11207953152000.

The previous prime is 38856303278491. The next prime is 38856303278521. The reversal of 38856303278496 is 69487230365883.

38856303278496 is a `hidden beast` number, since 3 + 8 + 8 + 5 + 6 + 30 + 32 + 78 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (38856303278491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197594430 + ... + 197790978.

It is an arithmetic number, because the mean of its divisors is an integer number (226905182000).

Almost surely, 2^{38856303278496} is an apocalyptic number.

38856303278496 is a gapful number since it is divisible by the number (36) 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 38856303278496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65348692416000).

38856303278496 is an abundant number, since it is smaller than the sum of its proper divisors (91841081553504).

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

38856303278496 is a wasteful number, since it uses less digits than its factorization.

38856303278496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196682 (or 196657 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 38856303278496 in words is "thirty-eight trillion, eight hundred fifty-six billion, three hundred three million, two hundred seventy-eight thousand, four hundred ninety-six".