3992541696 has 480 divisors, whose sum is σ = 13887986112. Its totient is φ = 1088225280.

The previous prime is 3992541667. The next prime is 3992541727. The reversal of 3992541696 is 6961452993.

3992541696 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 541 + 6 + 96 = 666.

3992541696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48102871 + ... + 48102953.

Almost surely, 2^3992541696 is an apocalyptic number.

3992541696 is a gapful number since it is divisible by the number (36) 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 3992541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6943993056).

3992541696 is an abundant number, since it is smaller than the sum of its proper divisors (9895444416).

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

3992541696 is a wasteful number, since it uses less digits than its factorization.

3992541696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 54.

The square root of 3992541696 is about 63186.5626221272. The cubic root of 3992541696 is about 1586.4138281612.

The spelling of 3992541696 in words is "three billion, nine hundred ninety-two million, five hundred forty-one thousand, six hundred ninety-six".