3988048940100 has 135 divisors (see below), whose sum is σ = 12928261781127. Its totient is φ = 1063431789120.

The previous prime is 3988048940039. The next prime is 3988048940111. The reversal of 3988048940100 is 10498408893.

The square root of 3988048940100 is 1997010.

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

3988048940100 is a `hidden beast` number, since 39 + 8 + 80 + 489 + 40 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3521947716 + 3984526992384 = 59346^2 + 1996128^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 179719806 + ... + 179741994.

Almost surely, 2^{3988048940100} is an apocalyptic number.

3988048940100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3988048940100 is the 1997010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3988048940100

3988048940100 is an abundant number, since it is smaller than the sum of its proper divisors (8940212841027).

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

3988048940100 is an frugal number, since it uses more digits than its factorization.

3988048940100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44404 (or 22199 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 3988048940100 in words is "three trillion, nine hundred eighty-eight billion, forty-eight million, nine hundred forty thousand, one hundred".