3340242214320 has 80 divisors (see below), whose sum is σ = 11296091860992. Its totient is φ = 809755687680.

The previous prime is 3340242214313. The next prime is 3340242214391. The reversal of 3340242214320 is 234122420433.

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

It is a super-2 number, since 2×3340242214320² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 632618992 + ... + 632624271.

Almost surely, 2^{3340242214320} is an apocalyptic number.

3340242214320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3340242214320 is an abundant number, since it is smaller than the sum of its proper divisors (7955849646672).

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

3340242214320 is a wasteful number, since it uses less digits than its factorization.

3340242214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265243290 (or 1265243284 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3340242214320 its reverse (234122420433), we get a palindrome (3574364634753).

The spelling of 3340242214320 in words is "three trillion, three hundred forty billion, two hundred forty-two million, two hundred fourteen thousand, three hundred twenty".