3386640 has 80 divisors (see below), whose sum is σ = 10677888. Its totient is φ = 887808.

The previous prime is 3386639. The next prime is 3386653. The reversal of 3386640 is 466833.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3386640² = 22938660979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3386598 and 3386607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24652 + ... + 24788.

Almost surely, 2^3386640 is an apocalyptic number.

3386640 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 3386640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338944).

3386640 is an abundant number, since it is smaller than the sum of its proper divisors (7291248).

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

3386640 is a wasteful number, since it uses less digits than its factorization.

3386640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3386640 is about 1840.2825869958. The cubic root of 3386640 is about 150.1722465762.

The spelling of 3386640 in words is "three million, three hundred eighty-six thousand, six hundred forty".