3813725700 has 288 divisors, whose sum is σ = 12844177920. Its totient is φ = 969753600.

The previous prime is 3813725687. The next prime is 3813725723. The reversal of 3813725700 is 75273183.

3813725700 is a `hidden beast` number, since 3 + 8 + 13 + 72 + 570 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 5202534 + ... + 5203266.

It is an arithmetic number, because the mean of its divisors is an integer number (44597840).

Almost surely, 2^3813725700 is an apocalyptic number.

3813725700 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 3813725700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6422088960).

3813725700 is an abundant number, since it is smaller than the sum of its proper divisors (9030452220).

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

3813725700 is a wasteful number, since it uses less digits than its factorization.

3813725700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3813725700 is about 61755.3698070054. The cubic root of 3813725700 is about 1562.3673376434.

Adding to 3813725700 its reverse (75273183), we get a palindrome (3888998883).

The spelling of 3813725700 in words is "three billion, eight hundred thirteen million, seven hundred twenty-five thousand, seven hundred".