3440214768120 has 256 divisors, whose sum is σ = 11157042314880. Its totient is φ = 843590246400.

The previous prime is 3440214768113. The next prime is 3440214768139. The reversal of 3440214768120 is 218674120443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 475361142 + ... + 475368378.

Almost surely, 2^{3440214768120} is an apocalyptic number.

3440214768120 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 3440214768120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578521157440).

3440214768120 is an abundant number, since it is smaller than the sum of its proper divisors (7716827546760).

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

3440214768120 is a wasteful number, since it uses less digits than its factorization.

3440214768120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8386 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

Adding to 3440214768120 its reverse (218674120443), we get a palindrome (3658888888563).

The spelling of 3440214768120 in words is "three trillion, four hundred forty billion, two hundred fourteen million, seven hundred sixty-eight thousand, one hundred twenty".