3813836400 has 840 divisors, whose sum is σ = 15881639760. Its totient is φ = 870912000.

The previous prime is 3813836399. The next prime is 3813836407. The reversal of 3813836400 is 46383183.

It is a happy number.

3813836400 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 8 + 3 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813836407) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93020380 + ... + 93020420.

It is an arithmetic number, because the mean of its divisors is an integer number (18906714).

Almost surely, 2^3813836400 is an apocalyptic number.

3813836400 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 3813836400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940819880).

3813836400 is an abundant number, since it is smaller than the sum of its proper divisors (12067803360).

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

3813836400 is a wasteful number, since it uses less digits than its factorization.

3813836400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3813836400 is about 61756.2660788361. The cubic root of 3813836400 is about 1562.3824543040.

It can be divided in two parts, 381383 and 6400, that added together give a palindrome (387783).

The spelling of 3813836400 in words is "three billion, eight hundred thirteen million, eight hundred thirty-six thousand, four hundred".