38380780800 has 1296 divisors, whose sum is σ = 157761152640. Its totient is φ = 9196830720.

The previous prime is 38380780787. The next prime is 38380780807. The reversal of 38380780800 is 808708383.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38380780807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1037318382 + ... + 1037318418.

Almost surely, 2^38380780800 is an apocalyptic number.

38380780800 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 38380780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78880576320).

38380780800 is an abundant number, since it is smaller than the sum of its proper divisors (119380371840).

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

38380780800 is a wasteful number, since it uses less digits than its factorization.

38380780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 38380780800 in words is "thirty-eight billion, three hundred eighty million, seven hundred eighty thousand, eight hundred".