3918745600 has 468 divisors, whose sum is σ = 12505101408. Its totient is φ = 1204224000.

The previous prime is 3918745577. The next prime is 3918745609. The reversal of 3918745600 is 65478193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3918745609) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 55193565 + ... + 55193635.

Almost surely, 2^3918745600 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 3918745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252550704).

3918745600 is an abundant number, since it is smaller than the sum of its proper divisors (8586355808).

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

3918745600 is a wasteful number, since it uses less digits than its factorization.

3918745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 3918745600 is about 62599.8849839199. The cubic root of 3918745600 is about 1576.5788283278.

The spelling of 3918745600 in words is "three billion, nine hundred eighteen million, seven hundred forty-five thousand, six hundred".