35304820164 has 96 divisors (see below), whose sum is σ = 92446865280. Its totient is φ = 11650953600.

The previous prime is 35304820141. The next prime is 35304820171. The reversal of 35304820164 is 46102840353.

35304820164 is a `hidden beast` number, since 3 + 530 + 48 + 20 + 1 + 64 = 666.

It is a super-3 number, since 3×35304820164³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6519522 + ... + 6524934.

It is an arithmetic number, because the mean of its divisors is an integer number (962988180).

Almost surely, 2^35304820164 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 35304820164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46223432640).

35304820164 is an abundant number, since it is smaller than the sum of its proper divisors (57142045116).

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

35304820164 is a wasteful number, since it uses less digits than its factorization.

35304820164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6018 (or 6010 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 35304820164 in words is "thirty-five billion, three hundred four million, eight hundred twenty thousand, one hundred sixty-four".