3997134421800 has 384 divisors, whose sum is σ = 13819031775360. Its totient is φ = 949514342400.

The previous prime is 3997134421769. The next prime is 3997134421807. The reversal of 3997134421800 is 81244317993.

It is a happy number.

It is a super-3 number, since 3×3997134421800³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3997134421807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25138147 + ... + 25296653.

It is an arithmetic number, because the mean of its divisors is an integer number (35987061915).

Almost surely, 2^{3997134421800} is an apocalyptic number.

3997134421800 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 3997134421800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909515887680).

3997134421800 is an abundant number, since it is smaller than the sum of its proper divisors (9821897353560).

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

3997134421800 is a wasteful number, since it uses less digits than its factorization.

3997134421800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158653 (or 158644 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 3997134421800 in words is "three trillion, nine hundred ninety-seven billion, one hundred thirty-four million, four hundred twenty-one thousand, eight hundred".