34328290320 has 160 divisors (see below), whose sum is σ = 118420099200. Its totient is φ = 9140414976.

The previous prime is 34328290291. The next prime is 34328290327. The reversal of 34328290320 is 2309282343.

34328290320 is a `hidden beast` number, since 3 + 4 + 328 + 2 + 9 + 0 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34328290327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1463646 + ... + 1486914.

It is an arithmetic number, because the mean of its divisors is an integer number (740125620).

Almost surely, 2^34328290320 is an apocalyptic number.

34328290320 is a gapful number since it is divisible by the number (30) 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 34328290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59210049600).

34328290320 is an abundant number, since it is smaller than the sum of its proper divisors (84091808880).

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

34328290320 is a wasteful number, since it uses less digits than its factorization.

34328290320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23974 (or 23962 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34328290320 in words is "thirty-four billion, three hundred twenty-eight million, two hundred ninety thousand, three hundred twenty".