4388920200 has 864 divisors, whose sum is σ = 18909727200. Its totient is φ = 940584960.

The previous prime is 4388920189. The next prime is 4388920223. The reversal of 4388920200 is 20298834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 45246552 + ... + 45246648.

Almost surely, 2^4388920200 is an apocalyptic number.

4388920200 is a gapful number since it is divisible by the number (40) 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 4388920200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454863600).

4388920200 is an abundant number, since it is smaller than the sum of its proper divisors (14520807000).

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

4388920200 is a wasteful number, since it uses less digits than its factorization.

4388920200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

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

The square root of 4388920200 is about 66248.9260290308. The cubic root of 4388920200 is about 1637.2659432768.

The spelling of 4388920200 in words is "four billion, three hundred eighty-eight million, nine hundred twenty thousand, two hundred".