34116525630 has 96 divisors (see below), whose sum is σ = 96897835008. Its totient is φ = 8259480000.

The previous prime is 34116525629. The next prime is 34116525637. The reversal of 34116525630 is 3652561143.

34116525630 is a `hidden beast` number, since 3 + 4 + 1 + 16 + 5 + 2 + 5 + 630 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34116525637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 720547 + ... + 766433.

It is an arithmetic number, because the mean of its divisors is an integer number (1009352448).

Almost surely, 2^34116525630 is an apocalyptic number.

34116525630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34116525630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48448917504).

34116525630 is an abundant number, since it is smaller than the sum of its proper divisors (62781309378).

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

34116525630 is a wasteful number, since it uses less digits than its factorization.

34116525630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46662 (or 46659 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 34116525630 in words is "thirty-four billion, one hundred sixteen million, five hundred twenty-five thousand, six hundred thirty".