34943830837344 has 576 divisors, whose sum is σ = 122550011071488. Its totient is φ = 9293492736000.

The previous prime is 34943830837273. The next prime is 34943830837361. The reversal of 34943830837344 is 44373803834943.

It is a happy number.

34943830837344 is a `hidden beast` number, since 3 + 494 + 3 + 8 + 30 + 8 + 3 + 73 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158077294 + ... + 158298194.

It is an arithmetic number, because the mean of its divisors is an integer number (212760435888).

Almost surely, 2^{34943830837344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34943830837344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61275005535744).

34943830837344 is an abundant number, since it is smaller than the sum of its proper divisors (87606180234144).

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

34943830837344 is a wasteful number, since it uses less digits than its factorization.

34943830837344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221131 (or 221120 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 63.

The spelling of 34943830837344 in words is "thirty-four trillion, nine hundred forty-three billion, eight hundred thirty million, eight hundred thirty-seven thousand, three hundred forty-four".