3480577120 has 48 divisors (see below), whose sum is σ = 8580388320. Its totient is φ = 1331697664.

The previous prime is 3480577109. The next prime is 3480577141. The reversal of 3480577120 is 217750843.

3480577120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480577120² = 24228834176534988800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3480577120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 469225 + ... + 476584.

It is an arithmetic number, because the mean of its divisors is an integer number (178758090).

Almost surely, 2^3480577120 is an apocalyptic number.

It is an amenable number.

3480577120 is an abundant number, since it is smaller than the sum of its proper divisors (5099811200).

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

3480577120 is a wasteful number, since it uses less digits than its factorization.

3480577120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945847 (or 945839 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 3480577120 is about 58996.4161623399. The cubic root of 3480577120 is about 1515.4807363847.

The spelling of 3480577120 in words is "three billion, four hundred eighty million, five hundred seventy-seven thousand, one hundred twenty".