34748358216 has 256 divisors, whose sum is σ = 105293260800. Its totient is φ = 9416601600.

The previous prime is 34748358191. The next prime is 34748358223. The reversal of 34748358216 is 61285384743.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 14375440 + ... + 14377856.

It is an arithmetic number, because the mean of its divisors is an integer number (411301800).

Almost surely, 2^34748358216 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 34748358216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52646630400).

34748358216 is an abundant number, since it is smaller than the sum of its proper divisors (70544902584).

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

34748358216 is a wasteful number, since it uses less digits than its factorization.

34748358216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2576 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 34748358216 in words is "thirty-four billion, seven hundred forty-eight million, three hundred fifty-eight thousand, two hundred sixteen".