34712002100 has 72 divisors (see below), whose sum is σ = 76067631360. Its totient is φ = 13748571520.

The previous prime is 34712002057. The next prime is 34712002111. The reversal of 34712002100 is 120021743.

34712002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4488437 + ... + 4496163.

It is an arithmetic number, because the mean of its divisors is an integer number (1056494880).

Almost surely, 2^34712002100 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 34712002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38033815680).

34712002100 is an abundant number, since it is smaller than the sum of its proper divisors (41355629260).

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

34712002100 is a wasteful number, since it uses less digits than its factorization.

34712002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8177 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 34712002100 its reverse (120021743), we get a palindrome (34832023843).

The spelling of 34712002100 in words is "thirty-four billion, seven hundred twelve million, two thousand, one hundred".