3819778560 has 600 divisors, whose sum is σ = 14950510740. Its totient is φ = 931627008.

The previous prime is 3819778559. The next prime is 3819778579. The reversal of 3819778560 is 658779183.

3819778560 is a `hidden beast` number, since 3 + 8 + 1 + 9 + 7 + 78 + 560 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 649638144 + 3170140416 = 25488^2 + 56304^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3819778497 and 3819778506.

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 59 ways as a sum of consecutive naturals, for example, 35043786 + ... + 35043894.

Almost surely, 2^3819778560 is an apocalyptic number.

3819778560 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 3819778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475255370).

3819778560 is an abundant number, since it is smaller than the sum of its proper divisors (11130732180).

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

3819778560 is a wasteful number, since it uses less digits than its factorization.

3819778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 3819778560 is about 61804.3571279566. The cubic root of 3819778560 is about 1563.1934582472.

The spelling of 3819778560 in words is "three billion, eight hundred nineteen million, seven hundred seventy-eight thousand, five hundred sixty".