38886220800 has 1584 divisors, whose sum is σ = 177395312640. Its totient is φ = 8241315840.

The previous prime is 38886220783. The next prime is 38886220897. The reversal of 38886220800 is 802268883.

38886220800 is a `hidden beast` number, since 388 + 8 + 62 + 208 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 827366377 + ... + 827366423.

Almost surely, 2^38886220800 is an apocalyptic number.

38886220800 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 38886220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88697656320).

38886220800 is an abundant number, since it is smaller than the sum of its proper divisors (138509091840).

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

38886220800 is a wasteful number, since it uses less digits than its factorization.

38886220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

It can be divided in two parts, 3888 and 6220800, that multiplied together give a square (24186470400 = 155520²).

The spelling of 38886220800 in words is "thirty-eight billion, eight hundred eighty-six million, two hundred twenty thousand, eight hundred".