3720385168900 has 27 divisors (see below), whose sum is σ = 8073277672341. Its totient is φ = 1488146352240.

The previous prime is 3720385168879. The next prime is 3720385168909. The reversal of 3720385168900 is 98615830273.

The square root of 3720385168900 is 1928830.

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., 1339338660804 + 2381046508096 = 1157298^2 + 1543064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3720385168909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19191859 + ... + 19384741.

Almost surely, 2^{3720385168900} is an apocalyptic number.

3720385168900 is the 1928830-th square number.

It is an amenable number.

3720385168900 is an abundant number, since it is smaller than the sum of its proper divisors (4352892503441).

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

3720385168900 is an frugal number, since it uses more digits than its factorization.

3720385168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385780 (or 192890 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 3720385168900 in words is "three trillion, seven hundred twenty billion, three hundred eighty-five million, one hundred sixty-eight thousand, nine hundred".