3382840 has 32 divisors (see below), whose sum is σ = 7944480. Its totient is φ = 1293952.

The previous prime is 3382807. The next prime is 3382849. The reversal of 3382840 is 482833.

It is a super-2 number, since 2×3382840² = 22887212931200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3382799 and 3382808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 919 + ... + 2758.

It is an arithmetic number, because the mean of its divisors is an integer number (248265).

Almost surely, 2^3382840 is an apocalyptic number.

3382840 is the 920-th decagonal number.

It is an amenable number.

3382840 is an abundant number, since it is smaller than the sum of its proper divisors (4561640).

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

3382840 is a wasteful number, since it uses less digits than its factorization.

3382840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3382840 is about 1839.2498470844. The cubic root of 3382840 is about 150.1160583281.

The spelling of 3382840 in words is "three million, three hundred eighty-two thousand, eight hundred forty".