340237214664336 has 240 divisors, whose sum is σ = 1039317268062528. Its totient is φ = 103046349619200.

The previous prime is 340237214664317. The next prime is 340237214664419. The reversal of 340237214664336 is 633466412732043.

340237214664336 is a `hidden beast` number, since 3 + 4 + 0 + 2 + 37 + 214 + 6 + 64 + 336 = 666.

It is a super-2 number, since 2×340237214664336² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35848400551 + ... + 35848410041.

Almost surely, 2^{340237214664336} is an apocalyptic number.

340237214664336 is a gapful number since it is divisible by the number (36) 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 340237214664336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519658634031264).

340237214664336 is an abundant number, since it is smaller than the sum of its proper divisors (699080053398192).

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

340237214664336 is a wasteful number, since it uses less digits than its factorization.

340237214664336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19390 (or 19381 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 54.

The spelling of 340237214664336 in words is "three hundred forty trillion, two hundred thirty-seven billion, two hundred fourteen million, six hundred sixty-four thousand, three hundred thirty-six".