3465120 has 48 divisors (see below), whose sum is σ = 10916640. Its totient is φ = 923904.

The previous prime is 3465107. The next prime is 3465139. The reversal of 3465120 is 215643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3465120² = 24014113228800, which contains 22 as substring.

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, 3130 + ... + 4089.

It is an arithmetic number, because the mean of its divisors is an integer number (227430).

Almost surely, 2^3465120 is an apocalyptic number.

3465120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3465120 is an abundant number, since it is smaller than the sum of its proper divisors (7451520).

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

3465120 is a wasteful number, since it uses less digits than its factorization.

3465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7237 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3465120 is about 1861.4832795381. The cubic root of 3465120 is about 151.3234008416.

The spelling of 3465120 in words is "three million, four hundred sixty-five thousand, one hundred twenty".