38995084800 has 960 divisors, whose sum is σ = 166429824000. Its totient is φ = 8868372480.

The previous prime is 38995084783. The next prime is 38995084831. The reversal of 38995084800 is 848059983.

It is a happy number.

38995084800 is a `hidden beast` number, since 3 + 8 + 99 + 508 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195955101 + ... + 195955299.

It is an arithmetic number, because the mean of its divisors is an integer number (173364400).

Almost surely, 2^38995084800 is an apocalyptic number.

38995084800 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 38995084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83214912000).

38995084800 is an abundant number, since it is smaller than the sum of its proper divisors (127434739200).

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

38995084800 is an frugal number, since it uses more digits than its factorization.

38995084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 38995084800 in words is "thirty-eight billion, nine hundred ninety-five million, eighty-four thousand, eight hundred".