3871264800 has 288 divisors, whose sum is σ = 13691123712. Its totient is φ = 944455680.

The previous prime is 3871264799. The next prime is 3871264829. The reversal of 3871264800 is 84621783.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3961912 + ... + 3962888.

It is an arithmetic number, because the mean of its divisors is an integer number (47538624).

Almost surely, 2^3871264800 is an apocalyptic number.

3871264800 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 3871264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845561856).

3871264800 is an abundant number, since it is smaller than the sum of its proper divisors (9819858912).

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

3871264800 is a wasteful number, since it uses less digits than its factorization.

3871264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3871264800 is about 62219.4889082191. The cubic root of 3871264800 is about 1570.1854893288.

The spelling of 3871264800 in words is "three billion, eight hundred seventy-one million, two hundred sixty-four thousand, eight hundred".