3409666960 has 160 divisors (see below), whose sum is σ = 9322617600. Its totient is φ = 1159216128.

The previous prime is 3409666943. The next prime is 3409666961. The reversal of 3409666960 is 696669043.

It is a happy number.

3409666960 is digitally balanced in base 2, because in such base 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 (49).

It is not an unprimeable number, because it can be changed into a prime (3409666961) 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, 3758827 + ... + 3759733.

It is an arithmetic number, because the mean of its divisors is an integer number (58266360).

Almost surely, 2^3409666960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409666960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4661308800).

3409666960 is an abundant number, since it is smaller than the sum of its proper divisors (5912950640).

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

3409666960 is a wasteful number, since it uses less digits than its factorization.

3409666960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 49.

The square root of 3409666960 is about 58392.3536090129. The cubic root of 3409666960 is about 1505.1183609815.

The spelling of 3409666960 in words is "three billion, four hundred nine million, six hundred sixty-six thousand, nine hundred sixty".