3368640 has 168 divisors, whose sum is σ = 12161520. Its totient is φ = 788480.

The previous prime is 3368633. The next prime is 3368641. The reversal of 3368640 is 468633.

It is a super-2 number, since 2×3368640² = 22695470899200, 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 = 3368598 and 3368607.

It is not an unprimeable number, because it can be changed into a prime (3368641) 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, 116146 + ... + 116174.

It is an arithmetic number, because the mean of its divisors is an integer number (72390).

Almost surely, 2^3368640 is an apocalyptic number.

3368640 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 3368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080760).

3368640 is an abundant number, since it is smaller than the sum of its proper divisors (8792880).

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

3368640 is a wasteful number, since it uses less digits than its factorization.

3368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 50 counting only the distinct ones).

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

The square root of 3368640 is about 1835.3855180861. The cubic root of 3368640 is about 149.9057185302.

The spelling of 3368640 in words is "three million, three hundred sixty-eight thousand, six hundred forty".