3509481436321 has 81 divisors (see below), whose sum is σ = 4310764818777. Its totient is φ = 2848707671040.

The previous prime is 3509481436297. The next prime is 3509481436387. The reversal of 3509481436321 is 1236341849053.

The square root of 3509481436321 is 1873361.

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 489755030625 + 3019726405696 = 699825^2 + 1737736^2 .

It is not a de Polignac number, because 3509481436321 - 2¹³ = 3509481428129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3509481430321) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36180220945 + ... + 36180221041.

Almost surely, 2^{3509481436321} is an apocalyptic number.

3509481436321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3509481436321 is the 1873361-st square number.

3509481436321 is the 936681-st centered octagonal number.

It is an amenable number.

3509481436321 is a deficient number, since it is larger than the sum of its proper divisors (801283382456).

3509481436321 is an frugal number, since it uses more digits than its factorization.

3509481436321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 3509481436321 by its sum of digits (49), we get a square (171964590379729 = 13113527²).

3509481436321 divided by its sum of digits (49) gives a square (71622070129 = 267623²).

The spelling of 3509481436321 in words is "three trillion, five hundred nine billion, four hundred eighty-one million, four hundred thirty-six thousand, three hundred twenty-one".