35920483729 has 27 divisors (see below), whose sum is σ = 39710389329. Its totient is φ = 32477346720.

The previous prime is 35920483723. The next prime is 35920483751. The reversal of 35920483729 is 92738402953.

The square root of 35920483729 is 189527.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25260334225 + 10660149504 = 158935^2 + 103248^2 .

It is not a de Polignac number, because 35920483729 - 2³ = 35920483721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (35920483721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 150294792 + ... + 150295030.

Almost surely, 2^35920483729 is an apocalyptic number.

35920483729 is the 189527-th square number.

35920483729 is the 94764-th centered octagonal number.

It is an amenable number.

35920483729 is a deficient number, since it is larger than the sum of its proper divisors (3789905600).

35920483729 is an frugal number, since it uses more digits than its factorization.

35920483729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 35920483729 in words is "thirty-five billion, nine hundred twenty million, four hundred eighty-three thousand, seven hundred twenty-nine".