3435120 has 120 divisors (see below), whose sum is σ = 12457536. Its totient is φ = 843264.

The previous prime is 3435109. The next prime is 3435151. The reversal of 3435120 is 215343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3435093 and 3435102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9177 + ... + 9543.

Almost surely, 2^3435120 is an apocalyptic number.

3435120 is a gapful number since it is divisible by the number (30) 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 3435120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228768).

3435120 is an abundant number, since it is smaller than the sum of its proper divisors (9022416).

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

3435120 is a wasteful number, since it uses less digits than its factorization.

3435120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3435120 is about 1853.4076723700. The cubic root of 3435120 is about 150.8854298098.

The spelling of 3435120 in words is "three million, four hundred thirty-five thousand, one hundred twenty".