34451132100 has 216 divisors, whose sum is σ = 125217027264. Its totient is φ = 7158624000.

The previous prime is 34451132083. The next prime is 34451132119. The reversal of 34451132100 is 123115443.

It is a happy number.

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, 186310 + ... + 321890.

Almost surely, 2^34451132100 is an apocalyptic number.

34451132100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34451132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62608513632).

34451132100 is an abundant number, since it is smaller than the sum of its proper divisors (90765895164).

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

34451132100 is a wasteful number, since it uses less digits than its factorization.

34451132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135627 (or 135609 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 34451132100 its reverse (123115443), we get a palindrome (34574247543).

The spelling of 34451132100 in words is "thirty-four billion, four hundred fifty-one million, one hundred thirty-two thousand, one hundred".