34820378837952 has 224 divisors, whose sum is σ = 93653569766400. Its totient is φ = 11415920136192.

The previous prime is 34820378837941. The next prime is 34820378837971. The reversal of 34820378837952 is 25973887302843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5136503299 + ... + 5136510077.

It is an arithmetic number, because the mean of its divisors is an integer number (418096293600).

Almost surely, 2^{34820378837952} is an apocalyptic number.

34820378837952 is a gapful number since it is divisible by the number (32) 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 34820378837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46826784883200).

34820378837952 is an abundant number, since it is smaller than the sum of its proper divisors (58833190928448).

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

34820378837952 is a wasteful number, since it uses less digits than its factorization.

34820378837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 69.

The spelling of 34820378837952 in words is "thirty-four trillion, eight hundred twenty billion, three hundred seventy-eight million, eight hundred thirty-seven thousand, nine hundred fifty-two".