3537968313 has 32 divisors (see below), whose sum is σ = 5198764032. Its totient is φ = 2122409600.

The previous prime is 3537968293. The next prime is 3537968327. The reversal of 3537968313 is 3138697353.

3537968313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3537968313 - 2¹⁶ = 3537902777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3537968333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448173 + ... + 1450613.

It is an arithmetic number, because the mean of its divisors is an integer number (162461376).

Almost surely, 2^3537968313 is an apocalyptic number.

3537968313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3537968313 is a deficient number, since it is larger than the sum of its proper divisors (1660795719).

3537968313 is a wasteful number, since it uses less digits than its factorization.

3537968313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885.

The product of its digits is 1224720, while the sum is 48.

The square root of 3537968313 is about 59480.8230692885. The cubic root of 3537968313 is about 1523.7649501268.

The spelling of 3537968313 in words is "three billion, five hundred thirty-seven million, nine hundred sixty-eight thousand, three hundred thirteen".