3409663488 has 320 divisors, whose sum is σ = 11464409088. Its totient is φ = 874782720.

The previous prime is 3409663441. The next prime is 3409663511. The reversal of 3409663488 is 8843669043.

It is a happy number.

It is a super-2 number, since 2×3409663488² = 23251610202800652288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3409663488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15020431 + ... + 15020657.

Almost surely, 2^3409663488 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 3409663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5732204544).

3409663488 is an abundant number, since it is smaller than the sum of its proper divisors (8054745600).

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

3409663488 is a wasteful number, since it uses less digits than its factorization.

3409663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The square root of 3409663488 is about 58392.3238790853. The cubic root of 3409663488 is about 1505.1178501034.

The spelling of 3409663488 in words is "three billion, four hundred nine million, six hundred sixty-three thousand, four hundred eighty-eight".