3798220800 has 360 divisors, whose sum is σ = 13749557472. Its totient is φ = 917504000.

The previous prime is 3798220787. The next prime is 3798220819. The reversal of 3798220800 is 80228973.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13516660 + ... + 13516940.

Almost surely, 2^3798220800 is an apocalyptic number.

3798220800 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 3798220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874778736).

3798220800 is an abundant number, since it is smaller than the sum of its proper divisors (9951336672).

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

3798220800 is a wasteful number, since it uses less digits than its factorization.

3798220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 3798220800 is about 61629.7071224584. The cubic root of 3798220800 is about 1560.2471666225.

The spelling of 3798220800 in words is "three billion, seven hundred ninety-eight million, two hundred twenty thousand, eight hundred".