3435360 has 96 divisors (see below), whose sum is σ = 11485152. Its totient is φ = 860160.

The previous prime is 3435347. The next prime is 3435361. The reversal of 3435360 is 635343.

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 self number, because there is not a number n which added to its sum of digits gives 3435360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7950 + ... + 8370.

It is an arithmetic number, because the mean of its divisors is an integer number (119637).

Almost surely, 2^3435360 is an apocalyptic number.

3435360 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 3435360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742576).

3435360 is an abundant number, since it is smaller than the sum of its proper divisors (8049792).

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

3435360 is a wasteful number, since it uses less digits than its factorization.

3435360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3435360 is about 1853.4724168436. The cubic root of 3435360 is about 150.8889436763. Note that the first 3 decimals are identical.

The spelling of 3435360 in words is "three million, four hundred thirty-five thousand, three hundred sixty".