35369948761 has 27 divisors (see below), whose sum is σ = 41872318047. Its totient is φ = 29790129600.

The previous prime is 35369948749. The next prime is 35369948771. The reversal of 35369948761 is 16784996353.

The square root of 35369948761 is 188069.

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

It can be written as a sum of positive squares in only one way, i.e., 35018011161 + 351937600 = 187131^2 + 18760^2 .

It is not a de Polignac number, because 35369948761 - 2⁵ = 35369948729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 35369948761.

It is not an unprimeable number, because it can be changed into a prime (35369948701) 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 in 26 ways as a sum of consecutive naturals, for example, 88204161 + ... + 88204561.

Almost surely, 2^35369948761 is an apocalyptic number.

35369948761 is the 188069-th square number.

35369948761 is the 94035-th centered octagonal number.

It is an amenable number.

35369948761 is a deficient number, since it is larger than the sum of its proper divisors (6502369286).

35369948761 is an frugal number, since it uses more digits than its factorization.

35369948761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 61.

The spelling of 35369948761 in words is "thirty-five billion, three hundred sixty-nine million, nine hundred forty-eight thousand, seven hundred sixty-one".