3870816000 has 288 divisors, whose sum is σ = 13087454016. Its totient is φ = 1013760000.

The previous prime is 3870815951. The next prime is 3870816029. The reversal of 3870816000 is 6180783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5855670 + ... + 5856330.

Almost surely, 2^3870816000 is an apocalyptic number.

3870816000 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 3870816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543727008).

3870816000 is an abundant number, since it is smaller than the sum of its proper divisors (9216638016).

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

3870816000 is an equidigital number, since it uses as much as digits as its factorization.

3870816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 3870816000 is about 62215.8822166816. The cubic root of 3870816000 is about 1570.1248092051.

Adding to 3870816000 its reverse (6180783), we get a palindrome (3876996783).

The spelling of 3870816000 in words is "three billion, eight hundred seventy million, eight hundred sixteen thousand".