3871396800 has 252 divisors, whose sum is σ = 14359341360. Its totient is φ = 987402240.

The previous prime is 3871396783. The next prime is 3871396811. The reversal of 3871396800 is 86931783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 325356 + ... + 337044.

Almost surely, 2^3871396800 is an apocalyptic number.

3871396800 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 3871396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7179670680).

3871396800 is an abundant number, since it is smaller than the sum of its proper divisors (10487944560).

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

3871396800 is a wasteful number, since it uses less digits than its factorization.

3871396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11740 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3871396800 is about 62220.5496600601. The cubic root of 3871396800 is about 1570.2033355315.

The spelling of 3871396800 in words is "three billion, eight hundred seventy-one million, three hundred ninety-six thousand, eight hundred".