3385146337 has 2 divisors, whose sum is σ = 3385146338. Its totient is φ = 3385146336.

The previous prime is 3385146313. The next prime is 3385146361. The reversal of 3385146337 is 7336415833.

It is a balanced prime because it is at equal distance from previous prime (3385146313) and next prime (3385146361).

It can be written as a sum of positive squares in only one way, i.e., 2646176481 + 738969856 = 51441^2 + 27184^2 .

It is a cyclic number.

It is not a de Polignac number, because 3385146337 - 2¹¹ = 3385144289 is a prime.

It is a super-2 number, since 2×3385146337² = 22918431445809035138, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3385146293 and 3385146302.

It is not a weakly prime, because it can be changed into another prime (3385146367) by changing a digit.

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 as a sum of consecutive naturals, namely, 1692573168 + 1692573169.

It is an arithmetic number, because the mean of its divisors is an integer number (1692573169).

Almost surely, 2^3385146337 is an apocalyptic number.

It is an amenable number.

3385146337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3385146337 is an equidigital number, since it uses as much as digits as its factorization.

3385146337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 43.

The square root of 3385146337 is about 58182.0104241852. The cubic root of 3385146337 is about 1501.5016572191.

The spelling of 3385146337 in words is "three billion, three hundred eighty-five million, one hundred forty-six thousand, three hundred thirty-seven".