3768000000 has 280 divisors, whose sum is σ = 12627494616. Its totient is φ = 998400000.

The previous prime is 3767999987. The next prime is 3768000079. The reversal of 3768000000 is 8673.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 23999922 + ... + 24000078.

Almost surely, 2^3768000000 is an apocalyptic number.

3768000000 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 3768000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6313747308).

3768000000 is an abundant number, since it is smaller than the sum of its proper divisors (8859494616).

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

3768000000 is an frugal number, since it uses more digits than its factorization.

3768000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3768000000 is about 61384.0370128912. The cubic root of 3768000000 is about 1556.0980722963.

Adding to 3768000000 its reverse (8673), we get a palindrome (3768008673).

It can be divided in two parts, 3 and 768000000, that multiplied together give a square (2304000000 = 48000²).

The spelling of 3768000000 in words is "three billion, seven hundred sixty-eight million", and thus it is an aban number.