3209961960 has 448 divisors, whose sum is σ = 11558868480. Its totient is φ = 800616960.

The previous prime is 3209961919. The next prime is 3209961967. The reversal of 3209961960 is 691699023.

It is a happy number.

3209961960 is a `hidden beast` number, since 3 + 20 + 9 + 9 + 619 + 6 + 0 = 666.

3209961960 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 not an unprimeable number, because it can be changed into a prime (3209961967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 47909847 + ... + 47909913.

Almost surely, 2^3209961960 is an apocalyptic number.

3209961960 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 3209961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779434240).

3209961960 is an abundant number, since it is smaller than the sum of its proper divisors (8348906520).

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

3209961960 is a wasteful number, since it uses less digits than its factorization.

3209961960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 3209961960 is about 56656.5261907223. The cubic root of 3209961960 is about 1475.1401892993.

The spelling of 3209961960 in words is "three billion, two hundred nine million, nine hundred sixty-one thousand, nine hundred sixty".