3992363648100 has 225 divisors, whose sum is σ = 13029109404157. Its totient is φ = 1057485136320.

The previous prime is 3992363648093. The next prime is 3992363648111. The reversal of 3992363648100 is 18463632993.

The square root of 3992363648100 is 1998090.

It is a perfect power (a square), and thus also a powerful number.

3992363648100 is a `hidden beast` number, since 39 + 9 + 236 + 364 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3787328563236 + 205035084864 = 1946106^2 + 452808^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×3992363648100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 26794386826 + ... + 26794386974.

Almost surely, 2^{3992363648100} is an apocalyptic number.

3992363648100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3992363648100 is the 1998090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3992363648100

3992363648100 is an abundant number, since it is smaller than the sum of its proper divisors (9036745756057).

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

3992363648100 is an frugal number, since it uses more digits than its factorization.

3992363648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3992363648100 in words is "three trillion, nine hundred ninety-two billion, three hundred sixty-three million, six hundred forty-eight thousand, one hundred".