38865484800 has 330 divisors, whose sum is σ = 143921998968. Its totient is φ = 10363576320.

The previous prime is 38865484793. The next prime is 38865484807. The reversal of 38865484800 is 848456883.

38865484800 is a `hidden beast` number, since 3 + 8 + 86 + 5 + 484 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38865484793) and next prime (38865484807).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38865484807) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2064229 + ... + 2082971.

Almost surely, 2^38865484800 is an apocalyptic number.

38865484800 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 38865484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71960999484).

38865484800 is an abundant number, since it is smaller than the sum of its proper divisors (105056514168).

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

38865484800 is a wasteful number, since it uses less digits than its factorization.

38865484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 38865484800 in words is "thirty-eight billion, eight hundred sixty-five million, four hundred eighty-four thousand, eight hundred".