3778088560 has 80 divisors (see below), whose sum is σ = 9217981440. Its totient is φ = 1437328640.

The previous prime is 3778088543. The next prime is 3778088579. The reversal of 3778088560 is 658808773.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3778088498 and 3778088507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323625 + ... + 335095.

It is an arithmetic number, because the mean of its divisors is an integer number (115224768).

Almost surely, 2^3778088560 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 3778088560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608990720).

3778088560 is an abundant number, since it is smaller than the sum of its proper divisors (5439892880).

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

3778088560 is a wasteful number, since it uses less digits than its factorization.

3778088560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686 (or 11680 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The square root of 3778088560 is about 61466.1578431579. The cubic root of 3778088560 is about 1557.4856164191.

The spelling of 3778088560 in words is "three billion, seven hundred seventy-eight million, eighty-eight thousand, five hundred sixty".