3894220800 has 432 divisors, whose sum is σ = 14509305720. Its totient is φ = 1035141120.

The previous prime is 3894220789. The next prime is 3894220801. The reversal of 3894220800 is 80224983.

It is a tau number, because it is divible by the number of its divisors (432).

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 (3894220801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12441444 + ... + 12441756.

Almost surely, 2^3894220800 is an apocalyptic number.

3894220800 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 3894220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254652860).

3894220800 is an abundant number, since it is smaller than the sum of its proper divisors (10615084920).

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

3894220800 is an equidigital number, since it uses as much as digits as its factorization.

3894220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3894220800 is about 62403.6921984589. The cubic root of 3894220800 is about 1573.2830268954.

The spelling of 3894220800 in words is "three billion, eight hundred ninety-four million, two hundred twenty thousand, eight hundred".