3904200000 has 420 divisors, whose sum is σ = 14525687484. Its totient is φ = 1036800000.

The previous prime is 3904199983. The next prime is 3904200017. The reversal of 3904200000 is 24093.

It is an interprime number because it is at equal distance from previous prime (3904199983) and next prime (3904200017).

It can be written as a sum of positive squares in 6 ways, for example, as 2792911104 + 1111288896 = 52848^2 + 33336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16199880 + ... + 16200120.

Almost surely, 2^3904200000 is an apocalyptic number.

3904200000 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 3904200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262843742).

3904200000 is an abundant number, since it is smaller than the sum of its proper divisors (10621487484).

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

3904200000 is an frugal number, since it uses more digits than its factorization.

3904200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3904200000 is about 62483.5978477552. The cubic root of 3904200000 is about 1574.6257614237.

Adding to 3904200000 its reverse (24093), we get a palindrome (3904224093).

The spelling of 3904200000 in words is "three billion, nine hundred four million, two hundred thousand".