340681977792 has 336 divisors, whose sum is σ = 1100301104448. Its totient is φ = 99997286400.

The previous prime is 340681977791. The next prime is 340681977827. The reversal of 340681977792 is 297779186043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340681977791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69059358 + ... + 69064290.

It is an arithmetic number, because the mean of its divisors is an integer number (3274705668).

Almost surely, 2^340681977792 is an apocalyptic number.

340681977792 is a gapful number since it is divisible by the number (32) 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 340681977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550150552224).

340681977792 is an abundant number, since it is smaller than the sum of its proper divisors (759619126656).

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

340681977792 is a wasteful number, since it uses less digits than its factorization.

340681977792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 340681977792 in words is "three hundred forty billion, six hundred eighty-one million, nine hundred seventy-seven thousand, seven hundred ninety-two".