34023622100064 has 24 divisors (see below), whose sum is σ = 89312008012920. Its totient is φ = 11341207366656.

The previous prime is 34023622100057. The next prime is 34023622100081. The reversal of 34023622100064 is 46000122632043.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 34023622099998 and 34023622100034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 177206365009 + ... + 177206365200.

It is an arithmetic number, because the mean of its divisors is an integer number (3721333667205).

Almost surely, 2^{34023622100064} is an apocalyptic number.

It is an amenable number.

34023622100064 is an abundant number, since it is smaller than the sum of its proper divisors (55288385912856).

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

34023622100064 is a wasteful number, since it uses less digits than its factorization.

34023622100064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354412730222 (or 354412730214 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 34023622100064 in words is "thirty-four trillion, twenty-three billion, six hundred twenty-two million, one hundred thousand, sixty-four".