3497560128 has 224 divisors, whose sum is σ = 10889894400. Its totient is φ = 1097722368.

The previous prime is 3497560123. The next prime is 3497560141. The reversal of 3497560128 is 8210657943.

3497560128 is a `hidden beast` number, since 34 + 9 + 7 + 5 + 601 + 2 + 8 = 666.

3497560128 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

3497560128 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3497560123) 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, 10079251 + ... + 10079597.

It is an arithmetic number, because the mean of its divisors is an integer number (48615600).

It is a 1-persistent number, because it is pandigital, but 2⋅3497560128 = 6995120256 is not.

Almost surely, 2^3497560128 is an apocalyptic number.

3497560128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3497560128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444947200).

3497560128 is an abundant number, since it is smaller than the sum of its proper divisors (7392334272).

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

3497560128 is a wasteful number, since it uses less digits than its factorization.

3497560128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3497560128 is about 59140.1735540233. The cubic root of 3497560128 is about 1517.9415997155.

The spelling of 3497560128 in words is "three billion, four hundred ninety-seven million, five hundred sixty thousand, one hundred twenty-eight".