34252144576320 has 448 divisors, whose sum is σ = 119955242131200. Its totient is φ = 8211480576000.

The previous prime is 34252144576319. The next prime is 34252144576369. The reversal of 34252144576320 is 2367544125243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34252144576320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 909756856 + ... + 909794504.

It is an arithmetic number, because the mean of its divisors is an integer number (267757236900).

Almost surely, 2^{34252144576320} is an apocalyptic number.

34252144576320 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 34252144576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59977621065600).

34252144576320 is an abundant number, since it is smaller than the sum of its proper divisors (85703097554880).

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

34252144576320 is a wasteful number, since it uses less digits than its factorization.

34252144576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38634 (or 38624 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 34252144576320 in words is "thirty-four trillion, two hundred fifty-two billion, one hundred forty-four million, five hundred seventy-six thousand, three hundred twenty".