3440273316480 has 4608 divisors, whose sum is σ = 17421348672000. Its totient is φ = 643778150400.

The previous prime is 3440273316479. The next prime is 3440273316499. The reversal of 3440273316480 is 846133720443.

3440273316480 is a `hidden beast` number, since 3 + 4 + 402 + 7 + 3 + 3 + 164 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 83909105260 + ... + 83909105300.

It is an arithmetic number, because the mean of its divisors is an integer number (3780674625).

Almost surely, 2^{3440273316480} is an apocalyptic number.

3440273316480 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 3440273316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8710674336000).

3440273316480 is an abundant number, since it is smaller than the sum of its proper divisors (13981075355520).

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

3440273316480 is a wasteful number, since it uses less digits than its factorization.

3440273316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3440273316480 in words is "three trillion, four hundred forty billion, two hundred seventy-three million, three hundred sixteen thousand, four hundred eighty".