3651041992900 has 81 divisors (see below), whose sum is σ = 8000677839861. Its totient is φ = 1446193025280.

The previous prime is 3651041992859. The next prime is 3651041992907. The reversal of 3651041992900 is 92991401563.

The square root of 3651041992900 is 1910770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3461810032836 + 189231960064 = 1860594^2 + 435008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3651041992907) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2082738424 + ... + 2082740176.

Almost surely, 2^{3651041992900} is an apocalyptic number.

3651041992900 is the 1910770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3651041992900

3651041992900 is an abundant number, since it is smaller than the sum of its proper divisors (4349635846961).

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

3651041992900 is an equidigital number, since it uses as much as digits as its factorization.

3651041992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

Multiplying 3651041992900 by its sum of digits (49), we get a square (178901057652100 = 13375390²).

The spelling of 3651041992900 in words is "three trillion, six hundred fifty-one billion, forty-one million, nine hundred ninety-two thousand, nine hundred".