340665001344 has 128 divisors (see below), whose sum is σ = 1005740604000. Its totient is φ = 113520476160.

The previous prime is 340665001277. The next prime is 340665001357. The reversal of 340665001344 is 443100566043.

340665001344 is a `hidden beast` number, since 3 + 40 + 66 + 500 + 13 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×340665001344⁴ (a number of 47 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340665001299 and 340665001308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12984912 + ... + 13011120.

Almost surely, 2^340665001344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340665001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502870302000).

340665001344 is an abundant number, since it is smaller than the sum of its proper divisors (665075602656).

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

340665001344 is a wasteful number, since it uses less digits than its factorization.

340665001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29993 (or 29975 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 340665001344 its reverse (443100566043), we get a palindrome (783765567387).

The spelling of 340665001344 in words is "three hundred forty billion, six hundred sixty-five million, one thousand, three hundred forty-four".