35921620900 has 81 divisors (see below), whose sum is σ = 85730244033. Its totient is φ = 13054826400.

The previous prime is 35921620753. The next prime is 35921620901. The reversal of 35921620900 is 902612953.

The square root of 35921620900 is 189530.

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., 12931783524 + 22989837376 = 113718^2 + 151624^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35921620900.

It is not an unprimeable number, because it can be changed into a prime (35921620901) 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, 20847439 + ... + 20849161.

Almost surely, 2^35921620900 is an apocalyptic number.

35921620900 is the 189530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35921620900

35921620900 is an abundant number, since it is smaller than the sum of its proper divisors (49808623133).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35921620900 is a wasteful number, since it uses less digits than its factorization.

35921620900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3482 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The spelling of 35921620900 in words is "thirty-five billion, nine hundred twenty-one million, six hundred twenty thousand, nine hundred".