34321033100 has 216 divisors, whose sum is σ = 84547505280. Its totient is φ = 12063744000.

The previous prime is 34321033079. The next prime is 34321033121. The reversal of 34321033100 is 133012343.

It is an interprime number because it is at equal distance from previous prime (34321033079) and next prime (34321033121).

It is a super-2 number, since 2×34321033100² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25980440 + ... + 25981760.

Almost surely, 2^34321033100 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 34321033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42273752640).

34321033100 is an abundant number, since it is smaller than the sum of its proper divisors (50226472180).

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

34321033100 is a wasteful number, since it uses less digits than its factorization.

34321033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 34321033100 its reverse (133012343), we get a palindrome (34454045443).

The spelling of 34321033100 in words is "thirty-four billion, three hundred twenty-one million, thirty-three thousand, one hundred".