34420576320 has 672 divisors, whose sum is σ = 138743740800. Its totient is φ = 7963619328.

The previous prime is 34420576283. The next prime is 34420576349. The reversal of 34420576320 is 2367502443.

34420576320 is a `hidden beast` number, since 3 + 44 + 20 + 576 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271028097 + ... + 271028223.

It is an arithmetic number, because the mean of its divisors is an integer number (206463900).

Almost surely, 2^34420576320 is an apocalyptic number.

34420576320 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 34420576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69371870400).

34420576320 is an abundant number, since it is smaller than the sum of its proper divisors (104323164480).

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

34420576320 is a wasteful number, since it uses less digits than its factorization.

34420576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 34420576320 in words is "thirty-four billion, four hundred twenty million, five hundred seventy-six thousand, three hundred twenty".