3503822400 has 672 divisors, whose sum is σ = 14604065280. Its totient is φ = 809533440.

The previous prime is 3503822393. The next prime is 3503822401. The reversal of 3503822400 is 42283053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3503822401) 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 95 ways as a sum of consecutive naturals, for example, 9547017 + ... + 9547383.

It is an arithmetic number, because the mean of its divisors is an integer number (21732240).

Almost surely, 2^3503822400 is an apocalyptic number.

3503822400 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 3503822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302032640).

3503822400 is an abundant number, since it is smaller than the sum of its proper divisors (11100242880).

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

3503822400 is a wasteful number, since it uses less digits than its factorization.

3503822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3503822400 is about 59193.0941918059. The cubic root of 3503822400 is about 1518.8470018824.

The spelling of 3503822400 in words is "three billion, five hundred three million, eight hundred twenty-two thousand, four hundred".