34001748100 has 72 divisors (see below), whose sum is σ = 74785213440. Its totient is φ = 13417326720.

The previous prime is 34001748043. The next prime is 34001748107. The reversal of 34001748100 is 184710043.

It is a super-2 number, since 2×34001748100² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34001748107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2265822 + ... + 2280778.

It is an arithmetic number, because the mean of its divisors is an integer number (1038683520).

Almost surely, 2^34001748100 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 34001748100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37392606720).

34001748100 is an abundant number, since it is smaller than the sum of its proper divisors (40783465340).

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

34001748100 is a wasteful number, since it uses less digits than its factorization.

34001748100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15277 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 34001748100 in words is "thirty-four billion, one million, seven hundred forty-eight thousand, one hundred".