35669831652 has 180 divisors, whose sum is σ = 116816833980. Its totient is φ = 9407373696.

The previous prime is 35669831641. The next prime is 35669831657. The reversal of 35669831652 is 25613896653.

It is a happy number.

35669831652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2244485376 + 33425346276 = 47376^2 + 182826^2 .

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

It is not an unprimeable number, because it can be changed into a prime (35669831657) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 119974 + ... + 292802.

It is an arithmetic number, because the mean of its divisors is an integer number (648982411).

Almost surely, 2^35669831652 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 35669831652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58408416990).

35669831652 is an abundant number, since it is smaller than the sum of its proper divisors (81147002328).

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

35669831652 is a wasteful number, since it uses less digits than its factorization.

35669831652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172872 (or 172854 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 35669831652 in words is "thirty-five billion, six hundred sixty-nine million, eight hundred thirty-one thousand, six hundred fifty-two".