38065420800 has 1920 divisors, whose sum is σ = 175360204800. Its totient is φ = 7962624000.

The previous prime is 38065420787. The next prime is 38065420823. The reversal of 38065420800 is 802456083.

38065420800 is a `hidden beast` number, since 38 + 0 + 6 + 542 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1227916785 + ... + 1227916815.

It is an arithmetic number, because the mean of its divisors is an integer number (91333440).

Almost surely, 2^38065420800 is an apocalyptic number.

38065420800 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 38065420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87680102400).

38065420800 is an abundant number, since it is smaller than the sum of its proper divisors (137294784000).

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

38065420800 is a wasteful number, since it uses less digits than its factorization.

38065420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 38065420800 its reverse (802456083), we get a palindrome (38867876883).

The spelling of 38065420800 in words is "thirty-eight billion, sixty-five million, four hundred twenty thousand, eight hundred".