3522916800 has 1008 divisors, whose sum is σ = 15167591712. Its totient is φ = 796262400.

The previous prime is 3522916799. The next prime is 3522916807. The reversal of 3522916800 is 86192253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3522916807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85924780 + ... + 85924820.

It is an arithmetic number, because the mean of its divisors is an integer number (15047214).

Almost surely, 2^3522916800 is an apocalyptic number.

3522916800 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 3522916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583795856).

3522916800 is an abundant number, since it is smaller than the sum of its proper divisors (11644674912).

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

3522916800 is a wasteful number, since it uses less digits than its factorization.

3522916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3522916800 is about 59354.1641336141. The cubic root of 3522916800 is about 1521.6010369287.

The spelling of 3522916800 in words is "three billion, five hundred twenty-two million, nine hundred sixteen thousand, eight hundred".