3536887680 has 160 divisors (see below), whose sum is σ = 12631049640. Its totient is φ = 943156224.

The previous prime is 3536887633. The next prime is 3536887687. The reversal of 3536887680 is 867886353.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536887687) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17727 + ... + 85953.

Almost surely, 2^3536887680 is an apocalyptic number.

3536887680 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 3536887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315524820).

3536887680 is an abundant number, since it is smaller than the sum of its proper divisors (9094161960).

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

3536887680 is an equidigital number, since it uses as much as digits as its factorization.

3536887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68258 (or 68237 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3536887680 is about 59471.7384982144. The cubic root of 3536887680 is about 1523.6097953204.

The spelling of 3536887680 in words is "three billion, five hundred thirty-six million, eight hundred eighty-seven thousand, six hundred eighty".