3337600003965 has 12 divisors (see below), whose sum is σ = 5785173340284. Its totient is φ = 1780053335424.

The previous prime is 3337600003963. The next prime is 3337600004009. The reversal of 3337600003965 is 5693000067333.

It is a happy number.

3337600003965 is a `hidden beast` number, since 3 + 3 + 3 + 7 + 600 + 0 + 0 + 39 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 727740367929 + 2609859636036 = 853077^2 + 1615506^2 .

It is not a de Polignac number, because 3337600003965 - 2¹ = 3337600003963 is a prime.

It is a super-2 number, since 2×3337600003965² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 74168888977 = 3337600003965 / (3 + 3 + 3 + 7 + 6 + 0 + 0 + 0 + 0 + 3 + 9 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 3337600003965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337600003963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37084444444 + ... + 37084444533.

It is an arithmetic number, because the mean of its divisors is an integer number (482097778357).

Almost surely, 2^{3337600003965} is an apocalyptic number.

It is an amenable number.

3337600003965 is a deficient number, since it is larger than the sum of its proper divisors (2447573336319).

3337600003965 is a wasteful number, since it uses less digits than its factorization.

3337600003965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74168888988 (or 74168888985 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 45.

The spelling of 3337600003965 in words is "three trillion, three hundred thirty-seven billion, six hundred million, three thousand, nine hundred sixty-five".