3435920 has 40 divisors (see below), whose sum is σ = 8269560. Its totient is φ = 1326080.

The previous prime is 3435911. The next prime is 3435959. The reversal of 3435920 is 295343.

It can be written as a sum of positive squares in 4 ways, for example, as 295936 + 3139984 = 544^2 + 1772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3435920.

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, 1580 + ... + 3060.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 2^3435920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3435920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4134780).

3435920 is an abundant number, since it is smaller than the sum of its proper divisors (4833640).

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

3435920 is a wasteful number, since it uses less digits than its factorization.

3435920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 3435920 is about 1853.6234784875. The cubic root of 3435920 is about 150.8971420619.

The spelling of 3435920 in words is "three million, four hundred thirty-five thousand, nine hundred twenty".