3203016960 has 576 divisors, whose sum is σ = 12691768320. Its totient is φ = 676823040.

The previous prime is 3203016931. The next prime is 3203016967. The reversal of 3203016960 is 696103023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3203016967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10433127 + ... + 10433433.

It is an arithmetic number, because the mean of its divisors is an integer number (22034320).

Almost surely, 2^3203016960 is an apocalyptic number.

3203016960 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 3203016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345884160).

3203016960 is an abundant number, since it is smaller than the sum of its proper divisors (9488751360).

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

3203016960 is a wasteful number, since it uses less digits than its factorization.

3203016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3203016960 is about 56595.2026235440. The cubic root of 3203016960 is about 1474.0755613127.

Adding to 3203016960 its reverse (696103023), we get a palindrome (3899119983).

The spelling of 3203016960 in words is "three billion, two hundred three million, sixteen thousand, nine hundred sixty".