34328265850656 has 96 divisors (see below), whose sum is σ = 100205579779200. Its totient is φ = 11433444307200.

The previous prime is 34328265850643. The next prime is 34328265850661. The reversal of 34328265850656 is 65605856282343.

34328265850656 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 8 + 26 + 58 + 506 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34328265850593 and 34328265850602.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15102420 + ... + 17226131.

It is an arithmetic number, because the mean of its divisors is an integer number (1043808122700).

Almost surely, 2^{34328265850656} is an apocalyptic number.

34328265850656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34328265850656 is an abundant number, since it is smaller than the sum of its proper divisors (65877313928544).

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

34328265850656 is a wasteful number, since it uses less digits than its factorization.

34328265850656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32329799 (or 32329785 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 34328265850656 in words is "thirty-four trillion, three hundred twenty-eight billion, two hundred sixty-five million, eight hundred fifty thousand, six hundred fifty-six".