3834230400 has 1728 divisors, whose sum is σ = 19681552800. Its totient is φ = 696729600.

The previous prime is 3834230383. The next prime is 3834230417. The reversal of 3834230400 is 40324383.

It is an interprime number because it is at equal distance from previous prime (3834230383) and next prime (3834230417).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 201801591 + ... + 201801609.

Almost surely, 2^3834230400 is an apocalyptic number.

3834230400 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 3834230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840776400).

3834230400 is an abundant number, since it is smaller than the sum of its proper divisors (15847322400).

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

3834230400 is a wasteful number, since it uses less digits than its factorization.

3834230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3834230400 is about 61921.1627797799. The cubic root of 3834230400 is about 1565.1623848624.

Adding to 3834230400 its reverse (40324383), we get a palindrome (3874554783).

The spelling of 3834230400 in words is "three billion, eight hundred thirty-four million, two hundred thirty thousand, four hundred".