3362340240 has 640 divisors, whose sum is σ = 14261944320. Its totient is φ = 710664192.

The previous prime is 3362340239. The next prime is 3362340253. The reversal of 3362340240 is 420432633.

It is a happy number.

3362340240 is a `hidden beast` number, since 33 + 623 + 4 + 0 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×3362340240³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26475057 + ... + 26475183.

It is an arithmetic number, because the mean of its divisors is an integer number (22284288).

Almost surely, 2^3362340240 is an apocalyptic number.

3362340240 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 3362340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130972160).

3362340240 is an abundant number, since it is smaller than the sum of its proper divisors (10899604080).

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

3362340240 is a wasteful number, since it uses less digits than its factorization.

3362340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3362340240 is about 57985.6899588166. The cubic root of 3362340240 is about 1498.1221300507.

Adding to 3362340240 its reverse (420432633), we get a palindrome (3782772873).

The spelling of 3362340240 in words is "three billion, three hundred sixty-two million, three hundred forty thousand, two hundred forty".