35946309000228 has 192 divisors, whose sum is σ = 98776614343680. Its totient is φ = 10056391833600.

The previous prime is 35946309000193. The next prime is 35946309000241. The reversal of 35946309000228 is 82200090364953.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90599176 + ... + 90995072.

It is an arithmetic number, because the mean of its divisors is an integer number (514461533040).

Almost surely, 2^{35946309000228} is an apocalyptic number.

35946309000228 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35946309000228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49388307171840).

35946309000228 is an abundant number, since it is smaller than the sum of its proper divisors (62830305343452).

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

35946309000228 is a wasteful number, since it uses less digits than its factorization.

35946309000228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396858 (or 396856 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 35946309000228 in words is "thirty-five trillion, nine hundred forty-six billion, three hundred nine million, two hundred twenty-eight", and thus it is an aban number.