3523368800 has 144 divisors (see below), whose sum is σ = 9856056672. Its totient is φ = 1204838400.

The previous prime is 3523368791. The next prime is 3523368809. The reversal of 3523368800 is 88633253.

It is an interprime number because it is at equal distance from previous prime (3523368791) and next prime (3523368809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3523368809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3320270 + ... + 3321330.

It is an arithmetic number, because the mean of its divisors is an integer number (68444838).

Almost surely, 2^3523368800 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 3523368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928028336).

3523368800 is an abundant number, since it is smaller than the sum of its proper divisors (6332687872).

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

3523368800 is a wasteful number, since it uses less digits than its factorization.

3523368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 3523368800 is about 59357.9716634590. The cubic root of 3523368800 is about 1521.6661093574. Note that the first 3 decimals are identical.

The spelling of 3523368800 in words is "three billion, five hundred twenty-three million, three hundred sixty-eight thousand, eight hundred".