3751968000 has 864 divisors, whose sum is σ = 15267208320. Its totient is φ = 811008000.

The previous prime is 3751967941. The next prime is 3751968001. The reversal of 3751968000 is 8691573.

3751968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3751968000³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3751968000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3751968001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197471991 + ... + 197472009.

It is an arithmetic number, because the mean of its divisors is an integer number (17670380).

Almost surely, 2^3751968000 is an apocalyptic number.

3751968000 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 3751968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633604160).

3751968000 is an abundant number, since it is smaller than the sum of its proper divisors (11515240320).

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

3751968000 is a wasteful number, since it uses less digits than its factorization.

3751968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 3751968000 is about 61253.3101146379. The cubic root of 3751968000 is about 1553.8879847174.

The spelling of 3751968000 in words is "three billion, seven hundred fifty-one million, nine hundred sixty-eight thousand".