3768758784 has 240 divisors, whose sum is σ = 12835130880. Its totient is φ = 1041776640.

The previous prime is 3768758761. The next prime is 3768758797. The reversal of 3768758784 is 4878578673.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998052 + ... + 1001820.

It is an arithmetic number, because the mean of its divisors is an integer number (53479712).

Almost surely, 2^3768758784 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 3768758784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6417565440).

3768758784 is an abundant number, since it is smaller than the sum of its proper divisors (9066372096).

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

3768758784 is a wasteful number, since it uses less digits than its factorization.

3768758784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3812 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

The square root of 3768758784 is about 61390.2173314283. The cubic root of 3768758784 is about 1556.2025187817.

The spelling of 3768758784 in words is "three billion, seven hundred sixty-eight million, seven hundred fifty-eight thousand, seven hundred eighty-four".