3390240 has 96 divisors (see below), whose sum is σ = 12216960. Its totient is φ = 774144.

The previous prime is 3390239. The next prime is 3390271. The reversal of 3390240 is 420933.

3390240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3390240² = 22987454515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2856 + ... + 3864.

It is an arithmetic number, because the mean of its divisors is an integer number (127260).

Almost surely, 2^3390240 is an apocalyptic number.

3390240 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 3390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6108480).

3390240 is an abundant number, since it is smaller than the sum of its proper divisors (8826720).

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

3390240 is a wasteful number, since it uses less digits than its factorization.

3390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3390240 is about 1841.2604378523. The cubic root of 3390240 is about 150.2254387904.

The spelling of 3390240 in words is "three million, three hundred ninety thousand, two hundred forty".