3997772800 has 198 divisors, whose sum is σ = 11531152212. Its totient is φ = 1370234880.

The previous prime is 3997772747. The next prime is 3997772813. The reversal of 3997772800 is 82777993.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1252807 + ... + 1255993.

Almost surely, 2^3997772800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765576106).

3997772800 is an abundant number, since it is smaller than the sum of its proper divisors (7533379412).

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

3997772800 is a wasteful number, since it uses less digits than its factorization.

3997772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 52.

The square root of 3997772800 is about 63227.9431897005. The cubic root of 3997772800 is about 1587.1063756343.

The spelling of 3997772800 in words is "three billion, nine hundred ninety-seven million, seven hundred seventy-two thousand, eight hundred".