34373792892168 has 48 divisors (see below), whose sum is σ = 95260705116720. Its totient is φ = 11191467452256.

The previous prime is 34373792892113. The next prime is 34373792892217. The reversal of 34373792892168 is 86129829737343.

34373792892168 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 379 + 2 + 8 + 92 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 34373792892096 and 34373792892105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5551320046 + ... + 5551326237.

It is an arithmetic number, because the mean of its divisors is an integer number (1984598023265).

Almost surely, 2^{34373792892168} is an apocalyptic number.

It is an amenable number.

34373792892168 is an abundant number, since it is smaller than the sum of its proper divisors (60886912224552).

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

34373792892168 is a wasteful number, since it uses less digits than its factorization.

34373792892168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11102646338 (or 11102646331 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 34373792892168 in words is "thirty-four trillion, three hundred seventy-three billion, seven hundred ninety-two million, eight hundred ninety-two thousand, one hundred sixty-eight".