38341900800 has 840 divisors, whose sum is σ = 163051501536. Its totient is φ = 8748933120.

The previous prime is 38341900783. The next prime is 38341900813. The reversal of 38341900800 is 800914383.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 65318107 + ... + 65318693.

Almost surely, 2^38341900800 is an apocalyptic number.

38341900800 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 38341900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81525750768).

38341900800 is an abundant number, since it is smaller than the sum of its proper divisors (124709600736).

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

38341900800 is an frugal number, since it uses more digits than its factorization.

38341900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 38341900800 in words is "thirty-eight billion, three hundred forty-one million, nine hundred thousand, eight hundred".