3819130560 has 840 divisors, whose sum is σ = 16481291904. Its totient is φ = 836075520.

The previous prime is 3819130507. The next prime is 3819130571. The reversal of 3819130560 is 650319183.

It is a happy number.

3819130560 is a `hidden beast` number, since 3 + 8 + 1 + 91 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39372432 + ... + 39372528.

Almost surely, 2^3819130560 is an apocalyptic number.

3819130560 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 3819130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240645952).

3819130560 is an abundant number, since it is smaller than the sum of its proper divisors (12662161344).

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

3819130560 is a wasteful number, since it uses less digits than its factorization.

3819130560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3819130560 is about 61799.1145567637. The cubic root of 3819130560 is about 1563.1050581274.

The spelling of 3819130560 in words is "three billion, eight hundred nineteen million, one hundred thirty thousand, five hundred sixty".