3421668960 has 192 divisors, whose sum is σ = 12606451200. Its totient is φ = 864400896.

The previous prime is 3421668953. The next prime is 3421668967. The reversal of 3421668960 is 698661243.

It is an interprime number because it is at equal distance from previous prime (3421668953) and next prime (3421668967).

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 (3421668967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61237 + ... + 102923.

It is an arithmetic number, because the mean of its divisors is an integer number (65658600).

Almost surely, 2^3421668960 is an apocalyptic number.

3421668960 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 3421668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303225600).

3421668960 is an abundant number, since it is smaller than the sum of its proper divisors (9184782240).

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

3421668960 is a wasteful number, since it uses less digits than its factorization.

3421668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41730 (or 41716 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3421668960 is about 58495.0336353438. The cubic root of 3421668960 is about 1506.8822943883.

The spelling of 3421668960 in words is "three billion, four hundred twenty-one million, six hundred sixty-eight thousand, nine hundred sixty".