342733841408 has 264 divisors, whose sum is σ = 866075546880. Its totient is φ = 134654607360.

The previous prime is 342733841407. The next prime is 342733841447. The reversal of 342733841408 is 804148337243.

It is not an unprimeable number, because it can be changed into a prime (342733841407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29547866 + ... + 29559462.

Almost surely, 2^342733841408 is an apocalyptic number.

342733841408 is a gapful number since it is divisible by the number (38) 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 342733841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433037773440).

342733841408 is an abundant number, since it is smaller than the sum of its proper divisors (523341705472).

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

342733841408 is a wasteful number, since it uses less digits than its factorization.

342733841408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11681 (or 11656 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 342733841408 in words is "three hundred forty-two billion, seven hundred thirty-three million, eight hundred forty-one thousand, four hundred eight".