366814304340 has 192 divisors, whose sum is σ = 1192578121728. Its totient is φ = 83255142400.

The previous prime is 366814304291. The next prime is 366814304377. The reversal of 366814304340 is 43403418663.

It is a super-3 number, since 3×366814304340³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 366814304292 and 366814304301.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2057437 + ... + 2228603.

It is an arithmetic number, because the mean of its divisors is an integer number (6211344384).

Almost surely, 2^366814304340 is an apocalyptic number.

366814304340 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 366814304340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596289060864).

366814304340 is an abundant number, since it is smaller than the sum of its proper divisors (825763817388).

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

366814304340 is a wasteful number, since it uses less digits than its factorization.

366814304340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171398 (or 171396 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 366814304340 in words is "three hundred sixty-six billion, eight hundred fourteen million, three hundred four thousand, three hundred forty".