34217723016 has 24 divisors (see below), whose sum is σ = 92673000030. Its totient is φ = 11405907648.

The previous prime is 34217722999. The next prime is 34217723081. The reversal of 34217723016 is 61032771243.

34217723016 is a `hidden beast` number, since 342 + 1 + 7 + 7 + 2 + 301 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19102004100 + 15115718916 = 138210^2 + 122946^2 .

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

It is a super-2 number, since 2×34217723016² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 237623005 + ... + 237623148.

Almost surely, 2^34217723016 is an apocalyptic number.

34217723016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34217723016 is an abundant number, since it is smaller than the sum of its proper divisors (58455277014).

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

34217723016 is a wasteful number, since it uses less digits than its factorization.

34217723016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475246165 (or 475246158 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 34217723016 in words is "thirty-four billion, two hundred seventeen million, seven hundred twenty-three thousand, sixteen".