3404969568 has 768 divisors, whose sum is σ = 13872660480. Its totient is φ = 783820800.

The previous prime is 3404969539. The next prime is 3404969569. The reversal of 3404969568 is 8659694043.

3404969568 is a `hidden beast` number, since 3 + 4 + 0 + 496 + 95 + 68 = 666.

It is a super-2 number, since 2×3404969568² = 23187635518012213248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404969569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26810721 + ... + 26810847.

It is an arithmetic number, because the mean of its divisors is an integer number (18063360).

Almost surely, 2^3404969568 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 3404969568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936330240).

3404969568 is an abundant number, since it is smaller than the sum of its proper divisors (10467690912).

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

3404969568 is a wasteful number, since it uses less digits than its factorization.

3404969568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 3404969568 is about 58352.1170824161. The cubic root of 3404969568 is about 1504.4268584306.

The spelling of 3404969568 in words is "three billion, four hundred four million, nine hundred sixty-nine thousand, five hundred sixty-eight".