3768809282784 has 480 divisors, whose sum is σ = 13651601616576. Its totient is φ = 993257717760.

The previous prime is 3768809282767. The next prime is 3768809282837. The reversal of 3768809282784 is 4872829088673.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 382343584 + ... + 382353440.

Almost surely, 2^{3768809282784} 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 3768809282784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6825800808288).

3768809282784 is an abundant number, since it is smaller than the sum of its proper divisors (9882792333792).

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

3768809282784 is a wasteful number, since it uses less digits than its factorization.

3768809282784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11520 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

It can be divided in two parts, 376880 and 9282784, that added together give a square (9659664 = 3108²).

The spelling of 3768809282784 in words is "three trillion, seven hundred sixty-eight billion, eight hundred nine million, two hundred eighty-two thousand, seven hundred eighty-four".