3850081200 has 480 divisors, whose sum is σ = 15823749120. Its totient is φ = 870912000.

The previous prime is 3850081121. The next prime is 3850081201. The reversal of 3850081200 is 21800583.

It is a happy number.

3850081200 is a `hidden beast` number, since 38 + 500 + 8 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3850081201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9601000 + ... + 9601400.

It is an arithmetic number, because the mean of its divisors is an integer number (32966144).

Almost surely, 2^3850081200 is an apocalyptic number.

3850081200 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 3850081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911874560).

3850081200 is an abundant number, since it is smaller than the sum of its proper divisors (11973667920).

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

3850081200 is a wasteful number, since it uses less digits than its factorization.

3850081200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 3850081200 is about 62049.0225547510. The cubic root of 3850081200 is about 1567.3162257938.

Adding to 3850081200 its reverse (21800583), we get a palindrome (3871881783).

The spelling of 3850081200 in words is "three billion, eight hundred fifty million, eighty-one thousand, two hundred".