3535688016 has 160 divisors (see below), whose sum is σ = 12280999680. Its totient is φ = 950759424.

The previous prime is 3535687997. The next prime is 3535688027. The reversal of 3535688016 is 6108865353.

3535688016 is a `hidden beast` number, since 3 + 5 + 3 + 568 + 80 + 1 + 6 = 666.

It is a congruent number.

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, 17020 + ... + 85796.

It is an arithmetic number, because the mean of its divisors is an integer number (76756248).

Almost surely, 2^3535688016 is an apocalyptic number.

3535688016 is a gapful number since it is divisible by the number (36) 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 3535688016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140499840).

3535688016 is an abundant number, since it is smaller than the sum of its proper divisors (8745311664).

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

3535688016 is a wasteful number, since it uses less digits than its factorization.

3535688016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68818 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3535688016 is about 59461.6516420457. The cubic root of 3535688016 is about 1523.4375132951.

The spelling of 3535688016 in words is "three billion, five hundred thirty-five million, six hundred eighty-eight thousand, sixteen".