3831038400 has 672 divisors, whose sum is σ = 16055400960. Its totient is φ = 778567680.

The previous prime is 3831038363. The next prime is 3831038411. The reversal of 3831038400 is 48301383.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10852624 + ... + 10852976.

Almost surely, 2^3831038400 is an apocalyptic number.

3831038400 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 3831038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027700480).

3831038400 is an abundant number, since it is smaller than the sum of its proper divisors (12224362560).

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

3831038400 is a wasteful number, since it uses less digits than its factorization.

3831038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3831038400 is about 61895.3827033972. The cubic root of 3831038400 is about 1564.7279312830.

Adding to 3831038400 its reverse (48301383), we get a palindrome (3879339783).

The spelling of 3831038400 in words is "three billion, eight hundred thirty-one million, thirty-eight thousand, four hundred".