34230612672 has 168 divisors, whose sum is σ = 103753383552. Its totient is φ = 10772582400.

The previous prime is 34230612613. The next prime is 34230612749. The reversal of 34230612672 is 27621603243.

34230612672 is a `hidden beast` number, since 3 + 4 + 2 + 30 + 612 + 6 + 7 + 2 = 666.

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 23 ways as a sum of consecutive naturals, for example, 708718 + ... + 755474.

It is an arithmetic number, because the mean of its divisors is an integer number (617579664).

Almost surely, 2^34230612672 is an apocalyptic number.

34230612672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34230612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51876691776).

34230612672 is an abundant number, since it is smaller than the sum of its proper divisors (69522770880).

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

34230612672 is a wasteful number, since it uses less digits than its factorization.

34230612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46847 (or 46834 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34230612672 in words is "thirty-four billion, two hundred thirty million, six hundred twelve thousand, six hundred seventy-two".