35741227968 has 140 divisors (see below), whose sum is σ = 106505849472. Its totient is φ = 11851038720.

The previous prime is 35741227961. The next prime is 35741227981. The reversal of 35741227968 is 86972214753.

It is a happy number.

35741227968 is a `hidden beast` number, since 3 + 574 + 1 + 2 + 2 + 7 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35741227961) 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 19 ways as a sum of consecutive naturals, for example, 972096 + ... + 1008192.

Almost surely, 2^35741227968 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 35741227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53252924736).

35741227968 is an abundant number, since it is smaller than the sum of its proper divisors (70764621504).

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

35741227968 is a wasteful number, since it uses less digits than its factorization.

35741227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36312 (or 36293 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 35741227968 in words is "thirty-five billion, seven hundred forty-one million, two hundred twenty-seven thousand, nine hundred sixty-eight".