3529868800 has 120 divisors (see below), whose sum is σ = 8838793656. Its totient is φ = 1396899840.

The previous prime is 3529868789. The next prime is 3529868809. The reversal of 3529868800 is 88689253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3529868809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1240179 + ... + 1243021.

Almost surely, 2^3529868800 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 3529868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419396828).

3529868800 is an abundant number, since it is smaller than the sum of its proper divisors (5308924856).

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

3529868800 is an equidigital number, since it uses as much as digits as its factorization.

3529868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 3529868800 is about 59412.6989792586. The cubic root of 3529868800 is about 1522.6012705827.

The spelling of 3529868800 in words is "three billion, five hundred twenty-nine million, eight hundred sixty-eight thousand, eight hundred".