3778536960 has 480 divisors, whose sum is σ = 15132772512. Its totient is φ = 861143040.

The previous prime is 3778536953. The next prime is 3778537033. The reversal of 3778536960 is 696358773.

3778536960 is a `hidden beast` number, since 37 + 78 + 536 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 3778536897 and 3778536906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308042 + ... + 4308918.

Almost surely, 2^3778536960 is an apocalyptic number.

3778536960 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 3778536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566386256).

3778536960 is an abundant number, since it is smaller than the sum of its proper divisors (11354235552).

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

3778536960 is a wasteful number, since it uses less digits than its factorization.

3778536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3778536960 is about 61469.8052705554. The cubic root of 3778536960 is about 1557.5472303730.

The spelling of 3778536960 in words is "three billion, seven hundred seventy-eight million, five hundred thirty-six thousand, nine hundred sixty".