3997733187360 has 768 divisors, whose sum is σ = 14129467269120. Its totient is φ = 942024130560.

The previous prime is 3997733187353. The next prime is 3997733187379. The reversal of 3997733187360 is 637813377993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 3997733187291 and 3997733187300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11135746861 + ... + 11135747219.

It is an arithmetic number, because the mean of its divisors is an integer number (18397743840).

Almost surely, 2^{3997733187360} is an apocalyptic number.

3997733187360 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 3997733187360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064733634560).

3997733187360 is an abundant number, since it is smaller than the sum of its proper divisors (10131734081760).

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

3997733187360 is a wasteful number, since it uses less digits than its factorization.

3997733187360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 108020304, while the sum is 66.

The spelling of 3997733187360 in words is "three trillion, nine hundred ninety-seven billion, seven hundred thirty-three million, one hundred eighty-seven thousand, three hundred sixty".