3536856960 has 512 divisors, whose sum is σ = 14344888320. Its totient is φ = 721059840.

The previous prime is 3536856959. The next prime is 3536857007. The reversal of 3536856960 is 696586353.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent 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, 5415994 + ... + 5416646.

It is an arithmetic number, because the mean of its divisors is an integer number (28017360).

Almost surely, 2^3536856960 is an apocalyptic number.

3536856960 is a gapful number since it is divisible by the number (30) 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 3536856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172444160).

3536856960 is an abundant number, since it is smaller than the sum of its proper divisors (10808031360).

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

3536856960 is a wasteful number, since it uses less digits than its factorization.

3536856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The square root of 3536856960 is about 59471.4802237173. The cubic root of 3536856960 is about 1523.6053841513.

The spelling of 3536856960 in words is "three billion, five hundred thirty-six million, eight hundred fifty-six thousand, nine hundred sixty".