3483751323361 has 9 divisors (see below), whose sum is σ = 3700766081401. Its totient is φ = 3278794911232.

The previous prime is 3483751323331. The next prime is 3483751323431. The reversal of 3483751323361 is 1633231573843.

The square root of 3483751323361 is 1866481.

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 1779473292961 + 1704278030400 = 1333969^2 + 1305480^2 .

It is not a de Polignac number, because 3483751323361 - 2²³ = 3483742934753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3483751323331) 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, 31675281 + ... + 31785073.

Almost surely, 2^{3483751323361} is an apocalyptic number.

3483751323361 is the 1866481-st square number.

3483751323361 is the 933241-st centered octagonal number.

It is an amenable number.

3483751323361 is a deficient number, since it is larger than the sum of its proper divisors (217014758040).

3483751323361 is an frugal number, since it uses more digits than its factorization.

3483751323361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219620 (or 109810 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 49.

Multiplying 3483751323361 by its sum of digits (49), we get a square (170703814844689 = 13065367²).

The spelling of 3483751323361 in words is "three trillion, four hundred eighty-three billion, seven hundred fifty-one million, three hundred twenty-three thousand, three hundred sixty-one".