3916338800 has 120 divisors (see below), whose sum is σ = 10710921600. Its totient is φ = 1362169600.

The previous prime is 3916338791. The next prime is 3916338817. The reversal of 3916338800 is 88336193.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81851 + ... + 120549.

It is an arithmetic number, because the mean of its divisors is an integer number (89257680).

Almost surely, 2^3916338800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3916338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355460800).

3916338800 is an abundant number, since it is smaller than the sum of its proper divisors (6794582800).

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

3916338800 is a wasteful number, since it uses less digits than its factorization.

3916338800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38751 (or 38740 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 3916338800 is about 62580.6583538396. The cubic root of 3916338800 is about 1576.2559965334.

The spelling of 3916338800 in words is "three billion, nine hundred sixteen million, three hundred thirty-eight thousand, eight hundred".