3339069145344 has 81 divisors (see below), whose sum is σ = 9627612418333. Its totient is φ = 1112993811456.

The previous prime is 3339069145259. The next prime is 3339069145381. The reversal of 3339069145344 is 4435419609333.

The square root of 3339069145344 is 1827312.

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

3339069145344 is a `hidden beast` number, since 3 + 3 + 3 + 90 + 6 + 9 + 14 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2126603890944 + 1212465254400 = 1458288^2 + 1101120^2 .

It is a super-2 number, since 2×3339069145344² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87691942 + ... + 87730010.

Almost surely, 2^{3339069145344} is an apocalyptic number.

3339069145344 is the 1827312-nd square number.

It is an amenable number.

3339069145344 is an abundant number, since it is smaller than the sum of its proper divisors (6288543272989).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3339069145344 is an frugal number, since it uses more digits than its factorization.

3339069145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76160 (or 38074 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 3339069145344 in words is "three trillion, three hundred thirty-nine billion, sixty-nine million, one hundred forty-five thousand, three hundred forty-four".