3440056560 has 160 divisors (see below), whose sum is σ = 11099557440. Its totient is φ = 880287744.

The previous prime is 3440056541. The next prime is 3440056567. The reversal of 3440056560 is 656500443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3440056567) 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, 1202652 + ... + 1205508.

It is an arithmetic number, because the mean of its divisors is an integer number (69372234).

Almost surely, 2^3440056560 is an apocalyptic number.

3440056560 is a gapful number since it is divisible by the number (30) 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 3440056560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549778720).

3440056560 is an abundant number, since it is smaller than the sum of its proper divisors (7659500880).

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

3440056560 is a wasteful number, since it uses less digits than its factorization.

3440056560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3075 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 3440056560 is about 58651.9953624768. The cubic root of 3440056560 is about 1509.5767361835.

The spelling of 3440056560 in words is "three billion, four hundred forty million, fifty-six thousand, five hundred sixty".