3509055120 has 80 divisors (see below), whose sum is σ = 10985850432. Its totient is φ = 926476800.

The previous prime is 3509055103. The next prime is 3509055131. The reversal of 3509055120 is 215509053.

3509055120 is digitally balanced in base 2 and base 4, because in such bases 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 Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48142 + ... + 96621.

Almost surely, 2^3509055120 is an apocalyptic number.

3509055120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3509055120 is an abundant number, since it is smaller than the sum of its proper divisors (7476795312).

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

3509055120 is a wasteful number, since it uses less digits than its factorization.

3509055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144880 (or 144874 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 3509055120 is about 59237.2781278816. The cubic root of 3509055120 is about 1519.6027239678.

The spelling of 3509055120 in words is "three billion, five hundred nine million, fifty-five thousand, one hundred twenty".