3781777896 has 192 divisors, whose sum is σ = 11524608000. Its totient is φ = 1162714176.

The previous prime is 3781777877. The next prime is 3781777903. The reversal of 3781777896 is 6987771873.

3781777896 is a `hidden beast` number, since 378 + 177 + 7 + 8 + 96 = 666.

3781777896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2956185 + ... + 2957463.

It is an arithmetic number, because the mean of its divisors is an integer number (60024000).

Almost surely, 2^3781777896 is an apocalyptic number.

3781777896 is a gapful number since it is divisible by the number (36) 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 3781777896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762304000).

3781777896 is an abundant number, since it is smaller than the sum of its proper divisors (7742830104).

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

3781777896 is a wasteful number, since it uses less digits than its factorization.

3781777896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1297 counting only the distinct ones).

The product of its digits is 24893568, while the sum is 63.

The square root of 3781777896 is about 61496.1616363168. The cubic root of 3781777896 is about 1557.9924175266.

The spelling of 3781777896 in words is "three billion, seven hundred eighty-one million, seven hundred seventy-seven thousand, eight hundred ninety-six".