3778806618720 has 576 divisors, whose sum is σ = 15541285294080. Its totient is φ = 816775778304.

The previous prime is 3778806618623. The next prime is 3778806618733. The reversal of 3778806618720 is 278166088773.

3778806618720 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 8 + 0 + 6 + 618 + 7 + 2 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 106658929 + ... + 106694351.

It is an arithmetic number, because the mean of its divisors is an integer number (26981398080).

Almost surely, 2^{3778806618720} is an apocalyptic number.

3778806618720 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 3778806618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770642647040).

3778806618720 is an abundant number, since it is smaller than the sum of its proper divisors (11762478675360).

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

3778806618720 is a wasteful number, since it uses less digits than its factorization.

3778806618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36027 (or 36016 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 3778806618720 in words is "three trillion, seven hundred seventy-eight billion, eight hundred six million, six hundred eighteen thousand, seven hundred twenty".