343775633688 has 96 divisors (see below), whose sum is σ = 945111435840. Its totient is φ = 112866670080.

The previous prime is 343775633599. The next prime is 343775633699. The reversal of 343775633688 is 886336577343.

343775633688 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 7 + 563 + 3 + 68 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3808033 + ... + 3897263.

It is an arithmetic number, because the mean of its divisors is an integer number (9844910790).

Almost surely, 2^343775633688 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 343775633688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472555717920).

343775633688 is an abundant number, since it is smaller than the sum of its proper divisors (601335802152).

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

343775633688 is a wasteful number, since it uses less digits than its factorization.

343775633688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90049 (or 90042 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 63.

The spelling of 343775633688 in words is "three hundred forty-three billion, seven hundred seventy-five million, six hundred thirty-three thousand, six hundred eighty-eight".