3871670400 has 576 divisors, whose sum is σ = 15469009920. Its totient is φ = 950538240.

The previous prime is 3871670393. The next prime is 3871670401. The reversal of 3871670400 is 40761783.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3871670401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10108609 + ... + 10108991.

It is an arithmetic number, because the mean of its divisors is an integer number (26855920).

Almost surely, 2^3871670400 is an apocalyptic number.

3871670400 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 3871670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734504960).

3871670400 is an abundant number, since it is smaller than the sum of its proper divisors (11597339520).

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

3871670400 is a wasteful number, since it uses less digits than its factorization.

3871670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3871670400 is about 62222.7482517447. The cubic root of 3871670400 is about 1570.2403245508.

The spelling of 3871670400 in words is "three billion, eight hundred seventy-one million, six hundred seventy thousand, four hundred".