35941961000 has 384 divisors, whose sum is σ = 99423586080. Its totient is φ = 12108800000.

The previous prime is 35941960981. The next prime is 35941961113. The reversal of 35941961000 is 16914953.

It can be written as a sum of positive squares in 16 ways, for example, as 7312644196 + 28629316804 = 85514^2 + 169202^2 .

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 207756914 + ... + 207757086.

Almost surely, 2^35941961000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35941961000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49711793040).

35941961000 is an abundant number, since it is smaller than the sum of its proper divisors (63481625080).

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

35941961000 is a wasteful number, since it uses less digits than its factorization.

35941961000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 35941961000 in words is "thirty-five billion, nine hundred forty-one million, nine hundred sixty-one thousand".