3997587340800 has 480 divisors, whose sum is σ = 14727578088960. Its totient is φ = 1062064742400.

The previous prime is 3997587340793. The next prime is 3997587340801. The reversal of 3997587340800 is 80437857993.

3997587340800 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 587 + 3 + 40 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3997587340801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93636259 + ... + 93678941.

It is an arithmetic number, because the mean of its divisors is an integer number (30682454352).

Almost surely, 2^{3997587340800} is an apocalyptic number.

3997587340800 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 3997587340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363789044480).

3997587340800 is an abundant number, since it is smaller than the sum of its proper divisors (10729990748160).

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

3997587340800 is a wasteful number, since it uses less digits than its factorization.

3997587340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42991 (or 42964 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3997587340800 in words is "three trillion, nine hundred ninety-seven billion, five hundred eighty-seven million, three hundred forty thousand, eight hundred".