3193842960 has 800 divisors, whose sum is σ = 14285728512. Its totient is φ = 641986560.

The previous prime is 3193842959. The next prime is 3193842973. The reversal of 3193842960 is 692483913.

It is a happy number.

3193842960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18461434 + ... + 18461606.

Almost surely, 2^3193842960 is an apocalyptic number.

3193842960 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 3193842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142864256).

3193842960 is an abundant number, since it is smaller than the sum of its proper divisors (11091885552).

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

3193842960 is a wasteful number, since it uses less digits than its factorization.

3193842960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3193842960 is about 56514.0952329594. The cubic root of 3193842960 is about 1472.6668789301. Note that the first 3 decimals are identical.

The spelling of 3193842960 in words is "three billion, one hundred ninety-three million, eight hundred forty-two thousand, nine hundred sixty".