3793807972900 has 81 divisors (see below), whose sum is σ = 9049526930577. Its totient is φ = 1379488624800.

The previous prime is 3793807972883. The next prime is 3793807972937. The reversal of 3793807972900 is 92797083973.

The square root of 3793807972900 is 1947770.

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

It can be written as a sum of positive squares in only one way, i.e., 1365770870244 + 2428037102656 = 1168662^2 + 1558216^2 .

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 26 ways as a sum of consecutive naturals, for example, 214245847 + ... + 214263553.

Almost surely, 2^{3793807972900} is an apocalyptic number.

3793807972900 is the 1947770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3793807972900

3793807972900 is an abundant number, since it is smaller than the sum of its proper divisors (5255718957677).

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

3793807972900 is an equidigital number, since it uses as much as digits as its factorization.

3793807972900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35450 (or 17725 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 64.

Multiplying 3793807972900 by its sum of digits (64), we get a square (242803710265600 = 15582160²).

The spelling of 3793807972900 in words is "three trillion, seven hundred ninety-three billion, eight hundred seven million, nine hundred seventy-two thousand, nine hundred".