3340242240 has 112 divisors (see below), whose sum is σ = 10689165312. Its totient is φ = 883685376.

The previous prime is 3340242233. The next prime is 3340242247. The reversal of 3340242240 is 422420433.

It is an interprime number because it is at equal distance from previous prime (3340242233) and next prime (3340242247).

It is a super-2 number, since 2×3340242240² = 22314436443760435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3340242240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340242247) by changing a digit.

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, 108222 + ... + 135618.

It is an arithmetic number, because the mean of its divisors is an integer number (95438976).

Almost surely, 2^3340242240 is an apocalyptic number.

3340242240 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 3340242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344582656).

3340242240 is an abundant number, since it is smaller than the sum of its proper divisors (7348923072).

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

3340242240 is a wasteful number, since it uses less digits than its factorization.

3340242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27544 (or 27534 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3340242240 is about 57794.8288344208. The cubic root of 3340242240 is about 1494.8329235404.

Adding to 3340242240 its reverse (422420433), we get a palindrome (3762662673).

The spelling of 3340242240 in words is "three billion, three hundred forty million, two hundred forty-two thousand, two hundred forty".