3963165192900 has 81 divisors (see below), whose sum is σ = 12422508322861. Its totient is φ = 1056828125280.

The previous prime is 3963165192887. The next prime is 3963165192901. The reversal of 3963165192900 is 92915613693.

The square root of 3963165192900 is 1990770.

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

3963165192900 is a `hidden beast` number, since 3 + 9 + 6 + 31 + 6 + 519 + 2 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1426739469444 + 2536425723456 = 1194462^2 + 1592616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3963165192901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59689921 + ... + 59756279.

Almost surely, 2^{3963165192900} is an apocalyptic number.

3963165192900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3963165192900 is the 1990770-th square number.

It is an amenable number.

3963165192900 is an abundant number, since it is smaller than the sum of its proper divisors (8459343129961).

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

3963165192900 is an frugal number, since it uses more digits than its factorization.

3963165192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132738 (or 66369 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The spelling of 3963165192900 in words is "three trillion, nine hundred sixty-three billion, one hundred sixty-five million, one hundred ninety-two thousand, nine hundred".