3749726289241 has 9 divisors (see below), whose sum is σ = 3755134754301. Its totient is φ = 3744325611072.

The previous prime is 3749726289229. The next prime is 3749726289247. The reversal of 3749726289241 is 1429826279473.

The square root of 3749726289241 is 1936421.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3126605504841 + 623120784400 = 1768221^2 + 789380^2 .

It is not a de Polignac number, because 3749726289241 - 2⁹ = 3749726288729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3749726289247) 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, 2511537291 + ... + 2511538783.

Almost surely, 2^{3749726289241} is an apocalyptic number.

3749726289241 is the 1936421-st square number.

3749726289241 is the 968211-st centered octagonal number.

It is an amenable number.

3749726289241 is a deficient number, since it is larger than the sum of its proper divisors (5408465060).

3749726289241 is an frugal number, since it uses more digits than its factorization.

3749726289241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5580 (or 2790 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 64.

Multiplying 3749726289241 by its sum of digits (64), we get a square (239982482511424 = 15491368²).

The spelling of 3749726289241 in words is "three trillion, seven hundred forty-nine billion, seven hundred twenty-six million, two hundred eighty-nine thousand, two hundred forty-one".