3988586534400 has 1920 divisors, whose sum is σ = 16469245900800. Its totient is φ = 939058790400.

The previous prime is 3988586534351. The next prime is 3988586534407. The reversal of 3988586534400 is 44356858893.

It is a happy number.

3988586534400 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 58 + 6 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3988586534407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10868083017 + ... + 10868083383.

It is an arithmetic number, because the mean of its divisors is an integer number (8577732240).

Almost surely, 2^{3988586534400} is an apocalyptic number.

3988586534400 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 3988586534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234622950400).

3988586534400 is an abundant number, since it is smaller than the sum of its proper divisors (12480659366400).

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

3988586534400 is a wasteful number, since it uses less digits than its factorization.

3988586534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 3988586534400 in words is "three trillion, nine hundred eighty-eight billion, five hundred eighty-six million, five hundred thirty-four thousand, four hundred".