3539536000 has 768 divisors, whose sum is σ = 12579390720. Its totient is φ = 958464000.

The previous prime is 3539535997. The next prime is 3539536001. The reversal of 3539536000 is 6359353.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3539536001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208207992 + ... + 208208008.

It is an arithmetic number, because the mean of its divisors is an integer number (16379415).

Almost surely, 2^3539536000 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 3539536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289695360).

3539536000 is an abundant number, since it is smaller than the sum of its proper divisors (9039854720).

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

3539536000 is a wasteful number, since it uses less digits than its factorization.

3539536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 34.

The square root of 3539536000 is about 59493.9996974485. Note that the first 3 decimals coincide. The cubic root of 3539536000 is about 1523.9899788770.

It can be divided in two parts, 353953 and 6000, that added together give a palindrome (359953).

The spelling of 3539536000 in words is "three billion, five hundred thirty-nine million, five hundred thirty-six thousand".