3434728560 has 80 divisors (see below), whose sum is σ = 10653603840. Its totient is φ = 915416320.

The previous prime is 3434728559. The next prime is 3434728567. The reversal of 3434728560 is 658274343.

3434728560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434728567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 648001 + ... + 653279.

It is an arithmetic number, because the mean of its divisors is an integer number (133170048).

Almost surely, 2^3434728560 is an apocalyptic number.

3434728560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3434728560 is an abundant number, since it is smaller than the sum of its proper divisors (7218875280).

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

3434728560 is a wasteful number, since it uses less digits than its factorization.

3434728560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3434728560 is about 58606.5573123008. The cubic root of 3434728560 is about 1508.7969834223.

The spelling of 3434728560 in words is "three billion, four hundred thirty-four million, seven hundred twenty-eight thousand, five hundred sixty".