3872194560 has 408 divisors, whose sum is σ = 14599212264. Its totient is φ = 943718400.

The previous prime is 3872194519. The next prime is 3872194561. The reversal of 3872194560 is 654912783.

3872194560 is a `hidden beast` number, since 3 + 8 + 72 + 19 + 4 + 560 = 666.

3872194560 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 642318336 + 3229876224 = 25344^2 + 56832^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

3872194560 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872194561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38338510 + ... + 38338610.

It is an arithmetic number, because the mean of its divisors is an integer number (35782383).

It is a 1-persistent number, because it is pandigital, but 2⋅3872194560 = 7744389120 is not.

Almost surely, 2^3872194560 is an apocalyptic number.

3872194560 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 3872194560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299606132).

3872194560 is an abundant number, since it is smaller than the sum of its proper divisors (10727017704).

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

3872194560 is a wasteful number, since it uses less digits than its factorization.

3872194560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3872194560 is about 62226.9600735887. The cubic root of 3872194560 is about 1570.3111828577.

The spelling of 3872194560 in words is "three billion, eight hundred seventy-two million, one hundred ninety-four thousand, five hundred sixty".