3335940 has 72 divisors (see below), whose sum is σ = 10378368. Its totient is φ = 866880.

The previous prime is 3335923. The next prime is 3335947. The reversal of 3335940 is 495333.

3335940 = 1² + 2² + ... + 215².

It is a super-2 number, since 2×3335940² = 22256991367200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3335947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7525 + ... + 7955.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

Almost surely, 2^3335940 is an apocalyptic number.

3335940 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 3335940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189184).

3335940 is an abundant number, since it is smaller than the sum of its proper divisors (7042428).

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

3335940 is a wasteful number, since it uses less digits than its factorization.

3335940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 3335940 is about 1826.4555839111. The cubic root of 3335940 is about 149.4190865009.

The spelling of 3335940 in words is "three million, three hundred thirty-five thousand, nine hundred forty".