3923219560 has 128 divisors (see below), whose sum is σ = 10101168000. Its totient is φ = 1359369216.

The previous prime is 3923219551. The next prime is 3923219561. The reversal of 3923219560 is 659123293.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3923219561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1075099 + ... + 1078741.

It is an arithmetic number, because the mean of its divisors is an integer number (78915375).

Almost surely, 2^3923219560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3923219560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050584000).

3923219560 is an abundant number, since it is smaller than the sum of its proper divisors (6177948440).

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

3923219560 is a wasteful number, since it uses less digits than its factorization.

3923219560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 40.

The square root of 3923219560 is about 62635.6093608101. The cubic root of 3923219560 is about 1577.1785838561.

The spelling of 3923219560 in words is "three billion, nine hundred twenty-three million, two hundred nineteen thousand, five hundred sixty".