3870720000 has 640 divisors, whose sum is σ = 16378507200. Its totient is φ = 884736000.

The previous prime is 3870719989. The next prime is 3870720001. The reversal of 3870720000 is 270783.

It is a tau number, because it is divible by the number of its divisors (640).

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 (3870720001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 552959997 + ... + 552960003.

Almost surely, 2^3870720000 is an apocalyptic number.

3870720000 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 3870720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189253600).

3870720000 is an abundant number, since it is smaller than the sum of its proper divisors (12507787200).

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

3870720000 is an frugal number, since it uses more digits than its factorization.

3870720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 3870720000 is about 62215.1107047155. The cubic root of 3870720000 is about 1570.1118288905. Note that the first 3 decimals are identical.

Adding to 3870720000 its reverse (270783), we get a palindrome (3870990783).

The spelling of 3870720000 in words is "three billion, eight hundred seventy million, seven hundred twenty thousand".