3409543764 has 144 divisors (see below), whose sum is σ = 9674368704. Its totient is φ = 1003507200.

The previous prime is 3409543757. The next prime is 3409543769. The reversal of 3409543764 is 4673459043.

3409543764 is a `hidden beast` number, since 3 + 40 + 9 + 543 + 7 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3409543769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6055747 + ... + 6056309.

It is an arithmetic number, because the mean of its divisors is an integer number (67183116).

Almost surely, 2^3409543764 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 3409543764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837184352).

3409543764 is an abundant number, since it is smaller than the sum of its proper divisors (6264824940).

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

3409543764 is a wasteful number, since it uses less digits than its factorization.

3409543764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3409543764 is about 58391.2987010907. The cubic root of 3409543764 is about 1505.1002334246.

The spelling of 3409543764 in words is "three billion, four hundred nine million, five hundred forty-three thousand, seven hundred sixty-four".