3997807803360 has 384 divisors, whose sum is σ = 16216468531200. Its totient is φ = 900913950720.

The previous prime is 3997807803349. The next prime is 3997807803383. The reversal of 3997807803360 is 633087087993.

3997807803360 is a `hidden beast` number, since 39 + 97 + 80 + 7 + 80 + 3 + 360 = 666.

It is a super-2 number, since 2×3997807803360² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1216036 + ... + 3078044.

It is an arithmetic number, because the mean of its divisors is an integer number (42230386800).

Almost surely, 2^{3997807803360} is an apocalyptic number.

3997807803360 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 3997807803360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108234265600).

3997807803360 is an abundant number, since it is smaller than the sum of its proper divisors (12218660727840).

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

3997807803360 is a wasteful number, since it uses less digits than its factorization.

3997807803360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862111 (or 1862097 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 3997807803360 in words is "three trillion, nine hundred ninety-seven billion, eight hundred seven million, eight hundred three thousand, three hundred sixty".