3598768800 has 216 divisors, whose sum is σ = 13844113920. Its totient is φ = 872409600.

The previous prime is 3598768799. The next prime is 3598768813. The reversal of 3598768800 is 88678953.

It is a happy number.

It is a super-2 number, since 2×3598768800² = 25902273751706880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56481 + ... + 101919.

It is an arithmetic number, because the mean of its divisors is an integer number (64093120).

Almost surely, 2^3598768800 is an apocalyptic number.

3598768800 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 3598768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922056960).

3598768800 is an abundant number, since it is smaller than the sum of its proper divisors (10245345120).

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

3598768800 is a wasteful number, since it uses less digits than its factorization.

3598768800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45476 (or 45460 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3598768800 is about 59989.7391226200. The cubic root of 3598768800 is about 1532.4441263148. Note that the first 3 decimals are identical.

The spelling of 3598768800 in words is "three billion, five hundred ninety-eight million, seven hundred sixty-eight thousand, eight hundred".