3870664800 has 288 divisors, whose sum is σ = 13724121600. Its totient is φ = 943810560.

The previous prime is 3870664789. The next prime is 3870664801. The reversal of 3870664800 is 84660783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870664801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320937 + ... + 1323863.

It is an arithmetic number, because the mean of its divisors is an integer number (47653200).

Almost surely, 2^3870664800 is an apocalyptic number.

3870664800 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 3870664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862060800).

3870664800 is an abundant number, since it is smaller than the sum of its proper divisors (9853456800).

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

3870664800 is a wasteful number, since it uses less digits than its factorization.

3870664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 3870664800 is about 62214.6670810027. The cubic root of 3870664800 is about 1570.1043651125.

The spelling of 3870664800 in words is "three billion, eight hundred seventy million, six hundred sixty-four thousand, eight hundred".