3405579072 has 56 divisors (see below), whose sum is σ = 10297826496. Its totient is φ = 973022208.

The previous prime is 3405579071. The next prime is 3405579083. The reversal of 3405579072 is 2709755043.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405579071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1265613 + ... + 1268300.

Almost surely, 2^3405579072 is an apocalyptic number.

3405579072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3405579072 is an abundant number, since it is smaller than the sum of its proper divisors (6892247424).

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

3405579072 is a wasteful number, since it uses less digits than its factorization.

3405579072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533935 (or 2533925 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 3405579072 is about 58357.3394869917. The cubic root of 3405579072 is about 1504.5166193386.

The spelling of 3405579072 in words is "three billion, four hundred five million, five hundred seventy-nine thousand, seventy-two".