3460128 has 96 divisors (see below), whose sum is σ = 10967040. Its totient is φ = 933120.

The previous prime is 3460117. The next prime is 3460133. The reversal of 3460128 is 8210643.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3460098 and 3460107.

It is a congruent number.

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, 12633 + ... + 12903.

It is an arithmetic number, because the mean of its divisors is an integer number (114240).

Almost surely, 2^3460128 is an apocalyptic number.

3460128 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3460128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5483520).

3460128 is an abundant number, since it is smaller than the sum of its proper divisors (7506912).

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

3460128 is a wasteful number, since it uses less digits than its factorization.

3460128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3460128 is about 1860.1419300688. The cubic root of 3460128 is about 151.2506982642.

The spelling of 3460128 in words is "three million, four hundred sixty thousand, one hundred twenty-eight".