340384006287360 has 1456 divisors, whose sum is σ = 1414097080769856. Its totient is φ = 76997682266112.

The previous prime is 340384006287337. The next prime is 340384006287401. The reversal of 340384006287360 is 63782600483043.

340384006287360 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 8 + 4 + 0 + 0 + 628 + 7 + 3 + 6 + 0 = 666.

It is a super-2 number, since 2×340384006287360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 340384006287297 and 340384006287306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10137398892 + ... + 10137432468.

Almost surely, 2^{340384006287360} is an apocalyptic number.

340384006287360 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 340384006287360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707048540384928).

340384006287360 is an abundant number, since it is smaller than the sum of its proper divisors (1073713074482496).

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

340384006287360 is an frugal number, since it uses more digits than its factorization.

340384006287360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33728 (or 33691 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 340384006287360 in words is "three hundred forty trillion, three hundred eighty-four billion, six million, two hundred eighty-seven thousand, three hundred sixty".