3992041600 has 192 divisors, whose sum is σ = 10142431200. Its totient is φ = 1552179200.

The previous prime is 3992041597. The next prime is 3992041631. The reversal of 3992041600 is 61402993.

3992041600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3992041600² = 31872792272261120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30473535 + ... + 30473665.

Almost surely, 2^3992041600 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 3992041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071215600).

3992041600 is an abundant number, since it is smaller than the sum of its proper divisors (6150389600).

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

3992041600 is a wasteful number, since it uses less digits than its factorization.

3992041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 3992041600 is about 63182.6052011153. The cubic root of 3992041600 is about 1586.3475886244.

The spelling of 3992041600 in words is "three billion, nine hundred ninety-two million, forty-one thousand, six hundred".