3322956960 has 336 divisors, whose sum is σ = 12163253760. Its totient is φ = 856604160.

The previous prime is 3322956937. The next prime is 3322956961. The reversal of 3322956960 is 696592233.

3322956960 is a `hidden beast` number, since 3 + 3 + 2 + 29 + 569 + 60 = 666.

It is a super-2 number, since 2×3322956960² = 22084085916024883200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322956961) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3615381 + ... + 3616299.

It is an arithmetic number, because the mean of its divisors is an integer number (36200160).

Almost surely, 2^3322956960 is an apocalyptic number.

3322956960 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 3322956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6081626880).

3322956960 is an abundant number, since it is smaller than the sum of its proper divisors (8840296800).

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

3322956960 is an equidigital number, since it uses as much as digits as its factorization.

3322956960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 3322956960 is about 57645.0948476971. The cubic root of 3322956960 is about 1492.2499467451.

The spelling of 3322956960 in words is "three billion, three hundred twenty-two million, nine hundred fifty-six thousand, nine hundred sixty".