3850400400 has 360 divisors, whose sum is σ = 15654828384. Its totient is φ = 799948800.

The previous prime is 3850400381. The next prime is 3850400401. The reversal of 3850400400 is 40040583.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3850400401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 643824 + ... + 649776.

Almost surely, 2^3850400400 is an apocalyptic number.

3850400400 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 3850400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827414192).

3850400400 is an abundant number, since it is smaller than the sum of its proper divisors (11804427984).

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

3850400400 is a wasteful number, since it uses less digits than its factorization.

3850400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3850400400 is about 62051.5946612172. The cubic root of 3850400400 is about 1567.3595386044.

Adding to 3850400400 its reverse (40040583), we get a palindrome (3890440983).

The spelling of 3850400400 in words is "three billion, eight hundred fifty million, four hundred thousand, four hundred".