3789957600 has 720 divisors, whose sum is σ = 16277239440. Its totient is φ = 846028800.

The previous prime is 3789957581. The next prime is 3789957629. The reversal of 3789957600 is 67599873.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9266196 + ... + 9266604.

It is an arithmetic number, because the mean of its divisors is an integer number (22607277).

Almost surely, 2^3789957600 is an apocalyptic number.

3789957600 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 3789957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138619720).

3789957600 is an abundant number, since it is smaller than the sum of its proper divisors (12487281840).

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

3789957600 is a wasteful number, since it uses less digits than its factorization.

3789957600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 3789957600 is about 61562.6315227021. The cubic root of 3789957600 is about 1559.1148825097.

The spelling of 3789957600 in words is "three billion, seven hundred eighty-nine million, nine hundred fifty-seven thousand, six hundred".