3457049568 has 288 divisors, whose sum is σ = 11038906368. Its totient is φ = 943488000.

The previous prime is 3457049551. The next prime is 3457049591. The reversal of 3457049568 is 8659407543.

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 zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3457049568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22019346 + ... + 22019502.

It is an arithmetic number, because the mean of its divisors is an integer number (38329536).

Almost surely, 2^3457049568 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 3457049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519453184).

3457049568 is an abundant number, since it is smaller than the sum of its proper divisors (7581856800).

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

3457049568 is a wasteful number, since it uses less digits than its factorization.

3457049568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 51.

The square root of 3457049568 is about 58796.6799062668. The cubic root of 3457049568 is about 1512.0582967921.

The spelling of 3457049568 in words is "three billion, four hundred fifty-seven million, forty-nine thousand, five hundred sixty-eight".