3723576137649 has 27 divisors (see below), whose sum is σ = 5557863463659. Its totient is φ = 2402191406160.

The previous prime is 3723576137647. The next prime is 3723576137653. The reversal of 3723576137649 is 9467316753273.

The square root of 3723576137649 is 1929657.

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

3723576137649 is a `hidden beast` number, since 3 + 7 + 2 + 3 + 5 + 7 + 613 + 7 + 6 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103004409249 + 3620571728400 = 320943^2 + 1902780^2 .

It is not a de Polignac number, because 3723576137649 - 2¹ = 3723576137647 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3723576137641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179447727 + ... + 179468475.

Almost surely, 2^{3723576137649} is an apocalyptic number.

3723576137649 is the 1929657-th square number.

3723576137649 is the 964829-th centered octagonal number.

It is an amenable number.

3723576137649 is a deficient number, since it is larger than the sum of its proper divisors (1834287326010).

3723576137649 is an frugal number, since it uses more digits than its factorization.

3723576137649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41566 (or 20783 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 63.

It can be divided in two parts, 3723576 and 137649, that added together give a square (3861225 = 1965²).

The spelling of 3723576137649 in words is "three trillion, seven hundred twenty-three billion, five hundred seventy-six million, one hundred thirty-seven thousand, six hundred forty-nine".