3830026200 has 576 divisors, whose sum is σ = 16243960320. Its totient is φ = 733824000.

The previous prime is 3830026199. The next prime is 3830026229. The reversal of 3830026200 is 26200383.

3830026200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4203745 + ... + 4204655.

It is an arithmetic number, because the mean of its divisors is an integer number (28201320).

Almost surely, 2^3830026200 is an apocalyptic number.

3830026200 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 3830026200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121980160).

3830026200 is an abundant number, since it is smaller than the sum of its proper divisors (12413934120).

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

3830026200 is a wasteful number, since it uses less digits than its factorization.

3830026200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3830026200 is about 61887.2054628418. The cubic root of 3830026200 is about 1564.5901133727.

Adding to 3830026200 its reverse (26200383), we get a palindrome (3856226583).

The spelling of 3830026200 in words is "three billion, eight hundred thirty million, twenty-six thousand, two hundred".