3395840 has 72 divisors (see below), whose sum is σ = 9320640. Its totient is φ = 1161216.

The previous prime is 3395831. The next prime is 3395867. The reversal of 3395840 is 485933.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3395797 and 3395806.

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, 8771 + ... + 9149.

Almost surely, 2^3395840 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 3395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660320).

3395840 is an abundant number, since it is smaller than the sum of its proper divisors (5924800).

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

3395840 is an equidigital number, since it uses as much as digits as its factorization.

3395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 3395840 is about 1842.7805078196. The cubic root of 3395840 is about 150.3081074395.

The spelling of 3395840 in words is "three million, three hundred ninety-five thousand, eight hundred forty".