34321262328 has 320 divisors, whose sum is σ = 104878540800. Its totient is φ = 10444723200.

The previous prime is 34321262323. The next prime is 34321262341. The reversal of 34321262328 is 82326212343.

34321262328 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 1 + 2 + 623 + 28 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 34321262292 and 34321262301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34321262323) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78180333 + ... + 78180771.

It is an arithmetic number, because the mean of its divisors is an integer number (327745440).

Almost surely, 2^34321262328 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 34321262328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52439270400).

34321262328 is an abundant number, since it is smaller than the sum of its proper divisors (70557278472).

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

34321262328 is a wasteful number, since it uses less digits than its factorization.

34321262328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 659 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 34321262328 in words is "thirty-four billion, three hundred twenty-one million, two hundred sixty-two thousand, three hundred twenty-eight".