3984187208400 has 2400 divisors, whose sum is σ = 18271559116800. Its totient is φ = 810470707200.

The previous prime is 3984187208389. The next prime is 3984187208411. The reversal of 3984187208400 is 48027814893.

It is a happy number.

3984187208400 is a `hidden beast` number, since 39 + 8 + 4 + 187 + 20 + 8 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3984187208389) and next prime (3984187208411).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6045807271 + ... + 6045807929.

It is an arithmetic number, because the mean of its divisors is an integer number (7613149632).

Almost surely, 2^{3984187208400} is an apocalyptic number.

3984187208400 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 3984187208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135779558400).

3984187208400 is an abundant number, since it is smaller than the sum of its proper divisors (14287371908400).

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

3984187208400 is a wasteful number, since it uses less digits than its factorization.

3984187208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 3984187208400 in words is "three trillion, nine hundred eighty-four billion, one hundred eighty-seven million, two hundred eight thousand, four hundred".