34164748830 has 64 divisors (see below), whose sum is σ = 84957035328. Its totient is φ = 8785889280.

The previous prime is 34164748817. The next prime is 34164748831. The reversal of 34164748830 is 3884746143.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 34164748830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164748831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10761 + ... + 261620.

It is an arithmetic number, because the mean of its divisors is an integer number (1327453677).

Almost surely, 2^34164748830 is an apocalyptic number.

34164748830 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 34164748830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42478517664).

34164748830 is an abundant number, since it is smaller than the sum of its proper divisors (50792286498).

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

34164748830 is a wasteful number, since it uses less digits than its factorization.

34164748830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272541.

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 34164748830 in words is "thirty-four billion, one hundred sixty-four million, seven hundred forty-eight thousand, eight hundred thirty".