3477382438465 has 48 divisors (see below), whose sum is σ = 4863813717168. Its totient is φ = 2371257667584.

The previous prime is 3477382438447. The next prime is 3477382438483. The reversal of 3477382438465 is 5648342837743.

It is an interprime number because it is at equal distance from previous prime (3477382438447) and next prime (3477382438483).

It can be written as a sum of positive squares in 24 ways, for example, as 1290559616784 + 2186822821681 = 1136028^2 + 1478791^2 .

It is not a de Polignac number, because 3477382438465 - 2²¹ = 3477380341313 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3477382438397 and 3477382438406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 750762 + ... + 2741971.

It is an arithmetic number, because the mean of its divisors is an integer number (101329452441).

Almost surely, 2^{3477382438465} is an apocalyptic number.

It is an amenable number.

3477382438465 is a deficient number, since it is larger than the sum of its proper divisors (1386431278703).

3477382438465 is a wasteful number, since it uses less digits than its factorization.

3477382438465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492838 (or 3492821 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 64.

The spelling of 3477382438465 in words is "three trillion, four hundred seventy-seven billion, three hundred eighty-two million, four hundred thirty-eight thousand, four hundred sixty-five".