3768918720 has 224 divisors, whose sum is σ = 13967935488. Its totient is φ = 843067392.

The previous prime is 3768918617. The next prime is 3768918731. The reversal of 3768918720 is 278198673.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 309874 + ... + 321806.

Almost surely, 2^3768918720 is an apocalyptic number.

3768918720 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 3768918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983967744).

3768918720 is an abundant number, since it is smaller than the sum of its proper divisors (10199016768).

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

3768918720 is a wasteful number, since it uses less digits than its factorization.

3768918720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 3768918720 is about 61391.5199355742. The cubic root of 3768918720 is about 1556.2245321553.

The spelling of 3768918720 in words is "three billion, seven hundred sixty-eight million, nine hundred eighteen thousand, seven hundred twenty".