3769150444900 has 135 divisors (see below), whose sum is σ = 8574193182009. Its totient is φ = 1438180281120.

The previous prime is 3769150444861. The next prime is 3769150444907. The reversal of 3769150444900 is 94440519673.

The square root of 3769150444900 is 1941430.

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., 1356894160164 + 2412256284736 = 1164858^2 + 1553144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3769150444907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10270164517 + ... + 10270164883.

Almost surely, 2^{3769150444900} is an apocalyptic number.

3769150444900 is the 1941430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3769150444900

3769150444900 is an abundant number, since it is smaller than the sum of its proper divisors (4805042737109).

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

3769150444900 is an frugal number, since it uses more digits than its factorization.

3769150444900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 3769150444900 in words is "three trillion, seven hundred sixty-nine billion, one hundred fifty million, four hundred forty-four thousand, nine hundred".