34884011715852 has 144 divisors (see below), whose sum is σ = 88561513192320. Its totient is φ = 10682190604800.

The previous prime is 34884011715829. The next prime is 34884011715863. The reversal of 34884011715852 is 25851711048843.

It is a junction number, because it is equal to n+sod(n) for n = 34884011715792 and 34884011715801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381905827 + ... + 381997157.

It is an arithmetic number, because the mean of its divisors is an integer number (615010508280).

Almost surely, 2^{34884011715852} 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 34884011715852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44280756596160).

34884011715852 is an abundant number, since it is smaller than the sum of its proper divisors (53677501476468).

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

34884011715852 is a wasteful number, since it uses less digits than its factorization.

34884011715852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92264 (or 92249 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 57.

The spelling of 34884011715852 in words is "thirty-four trillion, eight hundred eighty-four billion, eleven million, seven hundred fifteen thousand, eight hundred fifty-two".