3871974400 has 528 divisors, whose sum is σ = 12281213952. Its totient is φ = 1179648000.

The previous prime is 3871974389. The next prime is 3871974401. The reversal of 3871974400 is 44791783.

It is not an unprimeable number, because it can be changed into a prime (3871974401) 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, 94438380 + ... + 94438420.

Almost surely, 2^3871974400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3871974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140606976).

3871974400 is an abundant number, since it is smaller than the sum of its proper divisors (8409239552).

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

3871974400 is a wasteful number, since it uses less digits than its factorization.

3871974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 3871974400 is about 62225.1910402853. The cubic root of 3871974400 is about 1570.2814214174.

The spelling of 3871974400 in words is "three billion, eight hundred seventy-one million, nine hundred seventy-four thousand, four hundred".