3804142560 has 96 divisors (see below), whose sum is σ = 11996232192. Its totient is φ = 1013322240.

The previous prime is 3804142487. The next prime is 3804142567. The reversal of 3804142560 is 652414083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3804142567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491037 + ... + 498723.

It is an arithmetic number, because the mean of its divisors is an integer number (124960752).

Almost surely, 2^3804142560 is an apocalyptic number.

3804142560 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 3804142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998116096).

3804142560 is an abundant number, since it is smaller than the sum of its proper divisors (8192089632).

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

3804142560 is a wasteful number, since it uses less digits than its factorization.

3804142560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 3804142560 is about 61677.7314757928. The cubic root of 3804142560 is about 1561.0575997365.

It can be divided in two parts, 38041 and 42560, that added together give a triangular number (80601 = T₄₀₁).

The spelling of 3804142560 in words is "three billion, eight hundred four million, one hundred forty-two thousand, five hundred sixty".