34312277832 has 192 divisors, whose sum is σ = 103829667840. Its totient is φ = 9411292800.

The previous prime is 34312277789. The next prime is 34312277861. The reversal of 34312277832 is 23877221343.

It is a super-4 number, since 4×34312277832⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4626207 + ... + 4633617.

It is an arithmetic number, because the mean of its divisors is an integer number (540779520).

Almost surely, 2^34312277832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34312277832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51914833920).

34312277832 is an abundant number, since it is smaller than the sum of its proper divisors (69517390008).

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

34312277832 is a wasteful number, since it uses less digits than its factorization.

34312277832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7592 (or 7581 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The spelling of 34312277832 in words is "thirty-four billion, three hundred twelve million, two hundred seventy-seven thousand, eight hundred thirty-two".