3840530400 has 432 divisors, whose sum is σ = 15599814048. Its totient is φ = 870912000.

The previous prime is 3840530377. The next prime is 3840530413. The reversal of 3840530400 is 40350483.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9122190 + ... + 9122610.

Almost surely, 2^3840530400 is an apocalyptic number.

3840530400 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 3840530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799907024).

3840530400 is an abundant number, since it is smaller than the sum of its proper divisors (11759283648).

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

3840530400 is a wasteful number, since it uses less digits than its factorization.

3840530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3840530400 is about 61972.0130381449. The cubic root of 3840530400 is about 1566.0191519606.

Adding to 3840530400 its reverse (40350483), we get a palindrome (3880880883).

The spelling of 3840530400 in words is "three billion, eight hundred forty million, five hundred thirty thousand, four hundred".