3735049335713 has 2 divisors, whose sum is σ = 3735049335714. Its totient is φ = 3735049335712.

The previous prime is 3735049335683. The next prime is 3735049335727. The reversal of 3735049335713 is 3175339405373.

It is a happy number.

3735049335713 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3733926281569 + 1123054144 = 1932337^2 + 33512^2 .

It is a cyclic number.

It is not a de Polignac number, because 3735049335713 - 2¹² = 3735049331617 is a prime.

It is a super-3 number, since 3×3735049335713³ (a number of 39 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (3735049334713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1867524667856 + 1867524667857.

It is an arithmetic number, because the mean of its divisors is an integer number (1867524667857).

Almost surely, 2^{3735049335713} is an apocalyptic number.

It is an amenable number.

3735049335713 is a deficient number, since it is larger than the sum of its proper divisors (1).

3735049335713 is an equidigital number, since it uses as much as digits as its factorization.

3735049335713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10716300, while the sum is 53.

The spelling of 3735049335713 in words is "three trillion, seven hundred thirty-five billion, forty-nine million, three hundred thirty-five thousand, seven hundred thirteen".